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Finding the Fourth Proportional to 702.17, 1,052.94 and 539.96

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Solution

The fourth proportional to 702.17, 1,052.94 and 539.96 is: 809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.17 : 1,052.94 = 539.96 : x
  2. Step 2: Convert to fraction form
    702.17/1,052.94 = 539.96/x
  3. Step 3: Cross multiply
    702.17x = 1,052.94 × 539.96
  4. Step 4: Simplify right side
    702.17x = 568,545.48
  5. Step 5: Solve for x
    x = 568,545.48/702.17
  6. Step 6: Final answer
    x = 809.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.