Before trying to establish the current value of a gold quarter dollar, you need to understand if it is all gold, gold plated or even gold and platinum, as this will make a vast difference to the price of the gold quart coin.
Gold plated quarters infrequently have a value more than the face value of the coin, that is 25 cents; this is because the gold content is purely a thin coating which usually is around 0.003 inches thick. They only have a face value as no one is interested in collecting them, making it very hard to sell them.
If you are looking to value your gold quarter as an example, when writing this article on 1/27/2022, the spot price of gold stands at $1854.63 per ounce of gold.
The Standing Liberty Centennial Quarter Gold Coin (issued in 2016) struck 0.99999924 karat gold; the only officially authorized gold quarter coin to enter circulation is a quarter of an ounce in weight, putting its bullion value at $473.65.
$473.65 is the bullion value of this coin; however, a check on eBay currently shows these coins being offered anywhere from $549.99 - £949; in the collector market, the condition is everything.