If I was going to hold a G chord on mandolin for a whole note I would probably use an alternate to the full chop chord to get a more sustained ring.
one option is lifting the 4th finger and using an open 4th pair
another is lifting 3rd & 4th fingers giving you open both 3rd & 4th pairs
There are more alternate options but these two are the easiest to understand in my opinion.
To build strength in the fourth finger you have to use it regularly. Anything you play where you use an open string can be played using the fourth finger on the next bigger string @ the 7th fret. Also, learning to re-create things done down in 1st position up in a closed position (2nd, 3rd,…) is good exercise and forces use of the 5th finger.