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Finding the Fourth Proportional to 498.74, 748.24 and 174.13

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Solution

The fourth proportional to 498.74, 748.24 and 174.13 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 748.24 = 174.13 : x
  2. Step 2: Convert to fraction form
    498.74/748.24 = 174.13/x
  3. Step 3: Cross multiply
    498.74x = 748.24 × 174.13
  4. Step 4: Simplify right side
    498.74x = 130,288.73
  5. Step 5: Solve for x
    x = 130,288.73/498.74
  6. Step 6: Final answer
    x = 261.24

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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.