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                                                                      EXHIBIT 24
 
                               POWER OF ATTORNEY
 
     KNOW ALL MEN BY THESE PRESENTS:
 
     That the undersigned does hereby make, constitute and appoint Timothy G.
Rupert and L. Frederick Gieg, Jr., or any one of them, my true and lawful
attorneys-in-fact to sign and execute for me and on my behalf the 1995 Stock
Plan registration statement on Form S-8 for RMI Titanium Company, and any and
all amendments thereto to be filed with the Securities and Exchange Commission
pursuant to the Securities Act of 1933, as amended, in such form as they or any
one or more of them may approve, and to do any and all other acts which said
attorneys-in-fact may deem necessary or desirable to enable RMI Titanium Company
to comply with said Act and the rules and regulations thereunder.
 
     IN WITNESS WHEREOF, I have hereunto set my hand and seal this 27th day of
July, 1995.
 
                                          /S/ CRAIG R. ANDERSSON
 
                                          --------------------------------------
                                          Craig R. Andersson
   2
 
                               POWER OF ATTORNEY
 
     KNOW ALL MEN BY THESE PRESENTS:
 
     That the undersigned does hereby make, constitute and appoint Timothy G.
Rupert and L. Frederick Gieg, Jr., or any one of them, my true and lawful
attorneys-in-fact to sign and execute for me and on my behalf the 1995 Stock
Plan registration statement on Form S-8 for RMI Titanium Company, and any and
all amendments thereto to be filed with the Securities and Exchange Commission
pursuant to the Securities Act of 1933, as amended, in such form as they or any
one or more of them may approve, and to do any and all other acts which said
attorneys-in-fact may deem necessary or desirable to enable RMI Titanium Company
to comply with said Act and the rules and regulations thereunder.
 
     IN WITNESS WHEREOF, I have hereunto set my hand and seal this 27th day of
July, 1995.
 
                                          /S/ NEIL A. ARMSTRONG
 
                                          --------------------------------------
                                          Neil A. Armstrong
   3
 
                               POWER OF ATTORNEY
 
     KNOW ALL MEN BY THESE PRESENTS:
 
     That the undersigned does hereby make, constitute and appoint Timothy G.
Rupert and L. Frederick Gieg, Jr., or any one of them, my true and lawful
attorneys-in-fact to sign and execute for me and on my behalf the 1995 Stock
Plan registration statement on Form S-8 for RMI Titanium Company, and any and
all amendments thereto to be filed with the Securities and Exchange Commission
pursuant to the Securities Act of 1933, as amended, in such form as they or any
one or more of them may approve, and to do any and all other acts which said
attorneys-in-fact may deem necessary or desirable to enable RMI Titanium Company
to comply with said Act and the rules and regulations thereunder.
 
     IN WITNESS WHEREOF, I have hereunto set my hand and seal this 27th day of
July, 1995.
 
                                          /S/ CHARLES C. GEDEON
 
                                          --------------------------------------
                                          Charles C. Gedeon
   4
 
                               POWER OF ATTORNEY
 
     KNOW ALL MEN BY THESE PRESENTS:
 
     That the undersigned does hereby make, constitute and appoint Timothy G.
Rupert and L. Frederick Gieg, Jr., or any one of them, my true and lawful
attorneys-in-fact to sign and execute for me and on my behalf the 1995 Stock
Plan registration statement on Form S-8 for RMI Titanium Company, and any and
all amendments thereto to be filed with the Securities and Exchange Commission
pursuant to the Securities Act of 1933, as amended, in such form as they or any
one or more of them may approve, and to do any and all other acts which said
attorneys-in-fact may deem necessary or desirable to enable RMI Titanium Company
to comply with said Act and the rules and regulations thereunder.
 
     IN WITNESS WHEREOF, I have hereunto set my hand and seal this 27th day of
July, 1995.
 
                                          /S/ ROBERT M. HERNANDEZ
 
                                          --------------------------------------
                                          Robert M. Hernandez
   5
 
                               POWER OF ATTORNEY
 
     KNOW ALL MEN BY THESE PRESENTS:
 
     That the undersigned does hereby make, constitute and appoint Timothy G.
Rupert and L. Frederick Gieg, Jr., or any one of them, my true and lawful
attorneys-in-fact to sign and execute for me and on my behalf the 1995 Stock
Plan registration statement on Form S-8 for RMI Titanium Company, and any and
all amendments thereto to be filed with the Securities and Exchange Commission
pursuant to the Securities Act of 1933, as amended, in such form as they or any
one or more of them may approve, and to do any and all other acts which said
attorneys-in-fact may deem necessary or desirable to enable RMI Titanium Company
to comply with said Act and the rules and regulations thereunder.
 
     IN WITNESS WHEREOF, I have hereunto set my hand and seal this 27th day of
July, 1995.
 
                                          /S/ WILLIAM E. LEWELLEN
 
                                          --------------------------------------
                                          William E. Lewellen
   6
 
                               POWER OF ATTORNEY
 
     KNOW ALL MEN BY THESE PRESENTS:
 
     That the undersigned does hereby make, constitute and appoint Timothy G.
Rupert and L. Frederick Gieg, Jr., or any one of them, my true and lawful
attorneys-in-fact to sign and execute for me and on my behalf the 1995 Stock
Plan registration statement on Form S-8 for RMI Titanium Company, and any and
all amendments thereto to be filed with the Securities and Exchange Commission
pursuant to the Securities Act of 1933, as amended, in such form as they or any
one or more of them may approve, and to do any and all other acts which said
attorneys-in-fact may deem necessary or desirable to enable RMI Titanium Company
to comply with said Act and the rules and regulations thereunder.
 
     IN WITNESS WHEREOF, I have hereunto set my hand and seal this 27th day of
July, 1995.
 
                                          /S/ LOUIS A. VALLI
 
                                          --------------------------------------
                                          Louis A. Valli
   7
 
                               POWER OF ATTORNEY
 
     KNOW ALL MEN BY THESE PRESENTS:
 
     That the undersigned does hereby make, constitute and appoint Timothy G.
Rupert and L. Frederick Gieg, Jr., or any one of them, my true and lawful
attorneys-in-fact to sign and execute for me and on my behalf the 1995 Stock
Plan registration statement on Form S-8 for RMI Titanium Company, and any and
all amendments thereto to be filed with the Securities and Exchange Commission
pursuant to the Securities Act of 1933, as amended, in such form as they or any
one or more of them may approve, and to do any and all other acts which said
attorneys-in-fact may deem necessary or desirable to enable RMI Titanium Company
to comply with said Act and the rules and regulations thereunder.
 
     IN WITNESS WHEREOF, I have hereunto set my hand and seal this 27th day of
July, 1995.
 
                                          /S/ WESLEY W. VON SCHACK
 
                                          --------------------------------------
                                          Wesley W. Von Schack