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Finding the Fourth Proportional to 502.26, 752.31 and 454.38

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Solution

The fourth proportional to 502.26, 752.31 and 454.38 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.26 : 752.31 = 454.38 : x
  2. Step 2: Convert to fraction form
    502.26/752.31 = 454.38/x
  3. Step 3: Cross multiply
    502.26x = 752.31 × 454.38
  4. Step 4: Simplify right side
    502.26x = 341,834.62
  5. Step 5: Solve for x
    x = 341,834.62/502.26
  6. Step 6: Final answer
    x = 680.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.