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Finding the Fourth Proportional to 636.68, 878.42 and 429.72

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Solution

The fourth proportional to 636.68, 878.42 and 429.72 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.68 : 878.42 = 429.72 : x
  2. Step 2: Convert to fraction form
    636.68/878.42 = 429.72/x
  3. Step 3: Cross multiply
    636.68x = 878.42 × 429.72
  4. Step 4: Simplify right side
    636.68x = 377,474.64
  5. Step 5: Solve for x
    x = 377,474.64/636.68
  6. Step 6: Final answer
    x = 592.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.