Finding the Fourth Proportional to 852.68, 1,176.72 and 542
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Solution
The fourth proportional to 852.68, 1,176.72 and 542 is: 747.97
Step by Step Solution
- Step 1: Write the proportion equation
852.68 : 1,176.72 = 542 : x - Step 2: Convert to fraction form
852.68/1,176.72 = 542/x - Step 3: Cross multiply
852.68x = 1,176.72 × 542 - Step 4: Simplify right side
852.68x = 637,782.24 - Step 5: Solve for x
x = 637,782.24/852.68 - Step 6: Final answer
x = 747.97
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.