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Finding the Fourth Proportional to 502.27, 748.06 and 494.69

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Solution

The fourth proportional to 502.27, 748.06 and 494.69 is: 736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.27 : 748.06 = 494.69 : x
  2. Step 2: Convert to fraction form
    502.27/748.06 = 494.69/x
  3. Step 3: Cross multiply
    502.27x = 748.06 × 494.69
  4. Step 4: Simplify right side
    502.27x = 370,052.82
  5. Step 5: Solve for x
    x = 370,052.82/502.27
  6. Step 6: Final answer
    x = 736.76

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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.