Technically it should work:
Final Cut Pro 3 requires Mac OS X v10.1.1 or Mac OS 9.2.2, a Macintosh computer with a 300MHz or faster PowerPC G3 or G4 processor with built-in FireWire, 256MB of RAM (384MB recommended for G4 realtime effects), and 40MB of available disk space for installation. Actual SRP for Final Cut Pro 3 is $999. 500 MHz or faster single or dual processor Power Mac G4 or PowerBook G4 required for G4 real-time effects. 667-MHz PowerBook G4 required for mobile G4 real-time effects in DV format. SD and HD editing requires a Power Mac G4 and third-party capture card.
I can see no problem other that the screen size.
Ensign