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Finding the Fourth Proportional to 636.50, 956.64 and 432.38

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Solution

The fourth proportional to 636.50, 956.64 and 432.38 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.50 : 956.64 = 432.38 : x
  2. Step 2: Convert to fraction form
    636.50/956.64 = 432.38/x
  3. Step 3: Cross multiply
    636.50x = 956.64 × 432.38
  4. Step 4: Simplify right side
    636.50x = 413,627.22
  5. Step 5: Solve for x
    x = 413,627.22/636.50
  6. Step 6: Final answer
    x = 649.85

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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.