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Finding the Fourth Proportional to 871.92, 1,306.76 and 506.52

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Solution

The fourth proportional to 871.92, 1,306.76 and 506.52 is: 759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.92 : 1,306.76 = 506.52 : x
  2. Step 2: Convert to fraction form
    871.92/1,306.76 = 506.52/x
  3. Step 3: Cross multiply
    871.92x = 1,306.76 × 506.52
  4. Step 4: Simplify right side
    871.92x = 661,900.08
  5. Step 5: Solve for x
    x = 661,900.08/871.92
  6. Step 6: Final answer
    x = 759.13

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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.