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Finding the Fourth Proportional to 498.72, 747.94 and 169.60

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Solution

The fourth proportional to 498.72, 747.94 and 169.60 is: 254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.72 : 747.94 = 169.60 : x
  2. Step 2: Convert to fraction form
    498.72/747.94 = 169.60/x
  3. Step 3: Cross multiply
    498.72x = 747.94 × 169.60
  4. Step 4: Simplify right side
    498.72x = 126,850.62
  5. Step 5: Solve for x
    x = 126,850.62/498.72
  6. Step 6: Final answer
    x = 254.35

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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.