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Finding the Fourth Proportional to 614.26, 916.88 and 542.17

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Solution

The fourth proportional to 614.26, 916.88 and 542.17 is: 809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.26 : 916.88 = 542.17 : x
  2. Step 2: Convert to fraction form
    614.26/916.88 = 542.17/x
  3. Step 3: Cross multiply
    614.26x = 916.88 × 542.17
  4. Step 4: Simplify right side
    614.26x = 497,104.83
  5. Step 5: Solve for x
    x = 497,104.83/614.26
  6. Step 6: Final answer
    x = 809.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.