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Finding the Fourth Proportional to 702.48, 966.52 and 686.12

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Solution

The fourth proportional to 702.48, 966.52 and 686.12 is: 944.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.48 : 966.52 = 686.12 : x
  2. Step 2: Convert to fraction form
    702.48/966.52 = 686.12/x
  3. Step 3: Cross multiply
    702.48x = 966.52 × 686.12
  4. Step 4: Simplify right side
    702.48x = 663,148.70
  5. Step 5: Solve for x
    x = 663,148.70/702.48
  6. Step 6: Final answer
    x = 944.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.