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Finding the Fourth Proportional to 502.92, 752.63 and 307.83

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Solution

The fourth proportional to 502.92, 752.63 and 307.83 is: 460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.92 : 752.63 = 307.83 : x
  2. Step 2: Convert to fraction form
    502.92/752.63 = 307.83/x
  3. Step 3: Cross multiply
    502.92x = 752.63 × 307.83
  4. Step 4: Simplify right side
    502.92x = 231,683.38
  5. Step 5: Solve for x
    x = 231,683.38/502.92
  6. Step 6: Final answer
    x = 460.68

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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.