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Finding the Fourth Proportional to 951.43, 1,426.78 and 457.52

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Solution

The fourth proportional to 951.43, 1,426.78 and 457.52 is: 686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.43 : 1,426.78 = 457.52 : x
  2. Step 2: Convert to fraction form
    951.43/1,426.78 = 457.52/x
  3. Step 3: Cross multiply
    951.43x = 1,426.78 × 457.52
  4. Step 4: Simplify right side
    951.43x = 652,778.10
  5. Step 5: Solve for x
    x = 652,778.10/951.43
  6. Step 6: Final answer
    x = 686.10

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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.