Finding the Fourth Proportional to 523.76, 785.73 and 177.08
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Solution
The fourth proportional to 523.76, 785.73 and 177.08 is: 265.65
Step by Step Solution
- Step 1: Write the proportion equation
523.76 : 785.73 = 177.08 : x - Step 2: Convert to fraction form
523.76/785.73 = 177.08/x - Step 3: Cross multiply
523.76x = 785.73 × 177.08 - Step 4: Simplify right side
523.76x = 139,133.14 - Step 5: Solve for x
x = 139,133.14/523.76 - Step 6: Final answer
x = 265.65
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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.