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Finding the Fourth Proportional to 502.13, 751.42 and 440.27

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Solution

The fourth proportional to 502.13, 751.42 and 440.27 is: 658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 751.42 = 440.27 : x
  2. Step 2: Convert to fraction form
    502.13/751.42 = 440.27/x
  3. Step 3: Cross multiply
    502.13x = 751.42 × 440.27
  4. Step 4: Simplify right side
    502.13x = 330,827.68
  5. Step 5: Solve for x
    x = 330,827.68/502.13
  6. Step 6: Final answer
    x = 658.85

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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.