Finding the Fourth Proportional to 1,097.52, 1,646.24 and 328
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Solution
The fourth proportional to 1,097.52, 1,646.24 and 328 is: 491.99
Step by Step Solution
- Step 1: Write the proportion equation
1,097.52 : 1,646.24 = 328 : x - Step 2: Convert to fraction form
1,097.52/1,646.24 = 328/x - Step 3: Cross multiply
1,097.52x = 1,646.24 × 328 - Step 4: Simplify right side
1,097.52x = 539,966.72 - Step 5: Solve for x
x = 539,966.72/1,097.52 - Step 6: Final answer
x = 491.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.