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Finding the Fourth Proportional to 502.14, 747.98 and 495.66

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Solution

The fourth proportional to 502.14, 747.98 and 495.66 is: 738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.14 : 747.98 = 495.66 : x
  2. Step 2: Convert to fraction form
    502.14/747.98 = 495.66/x
  3. Step 3: Cross multiply
    502.14x = 747.98 × 495.66
  4. Step 4: Simplify right side
    502.14x = 370,741.29
  5. Step 5: Solve for x
    x = 370,741.29/502.14
  6. Step 6: Final answer
    x = 738.32

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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.