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Finding the Fourth Proportional to 498.62, 748.20 and 376.76

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Solution

The fourth proportional to 498.62, 748.20 and 376.76 is: 565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.62 : 748.20 = 376.76 : x
  2. Step 2: Convert to fraction form
    498.62/748.20 = 376.76/x
  3. Step 3: Cross multiply
    498.62x = 748.20 × 376.76
  4. Step 4: Simplify right side
    498.62x = 281,891.83
  5. Step 5: Solve for x
    x = 281,891.83/498.62
  6. Step 6: Final answer
    x = 565.34

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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.