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Finding the Fourth Proportional to 502.01, 752.39 and 285.71

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Solution

The fourth proportional to 502.01, 752.39 and 285.71 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.01 : 752.39 = 285.71 : x
  2. Step 2: Convert to fraction form
    502.01/752.39 = 285.71/x
  3. Step 3: Cross multiply
    502.01x = 752.39 × 285.71
  4. Step 4: Simplify right side
    502.01x = 214,963.92
  5. Step 5: Solve for x
    x = 214,963.92/502.01
  6. Step 6: Final answer
    x = 428.21

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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.