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Finding the Fourth Proportional to 502.18, 746.96 and 460.87

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Solution

The fourth proportional to 502.18, 746.96 and 460.87 is: 685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.18 : 746.96 = 460.87 : x
  2. Step 2: Convert to fraction form
    502.18/746.96 = 460.87/x
  3. Step 3: Cross multiply
    502.18x = 746.96 × 460.87
  4. Step 4: Simplify right side
    502.18x = 344,251.46
  5. Step 5: Solve for x
    x = 344,251.46/502.18
  6. Step 6: Final answer
    x = 685.51

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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.