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Finding the Fourth Proportional to 498.14, 748.28 and 481.74

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Solution

The fourth proportional to 498.14, 748.28 and 481.74 is: 723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.14 : 748.28 = 481.74 : x
  2. Step 2: Convert to fraction form
    498.14/748.28 = 481.74/x
  3. Step 3: Cross multiply
    498.14x = 748.28 × 481.74
  4. Step 4: Simplify right side
    498.14x = 360,474.26
  5. Step 5: Solve for x
    x = 360,474.26/498.14
  6. Step 6: Final answer
    x = 723.64

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Why These Related Problems?

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