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Finding the Fourth Proportional to 576.87, 861.38 and 460

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Solution

The fourth proportional to 576.87, 861.38 and 460 is: 686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.87 : 861.38 = 460 : x
  2. Step 2: Convert to fraction form
    576.87/861.38 = 460/x
  3. Step 3: Cross multiply
    576.87x = 861.38 × 460
  4. Step 4: Simplify right side
    576.87x = 396,234.80
  5. Step 5: Solve for x
    x = 396,234.80/576.87
  6. Step 6: Final answer
    x = 686.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.