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Finding the Fourth Proportional to 956.43, 1,432.82 and 646.76

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Solution

The fourth proportional to 956.43, 1,432.82 and 646.76 is: 968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.43 : 1,432.82 = 646.76 : x
  2. Step 2: Convert to fraction form
    956.43/1,432.82 = 646.76/x
  3. Step 3: Cross multiply
    956.43x = 1,432.82 × 646.76
  4. Step 4: Simplify right side
    956.43x = 926,691.01
  5. Step 5: Solve for x
    x = 926,691.01/956.43
  6. Step 6: Final answer
    x = 968.91

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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.