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Finding the Fourth Proportional to 432.64, 649.13 and 431.29

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Solution

The fourth proportional to 432.64, 649.13 and 431.29 is: 647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 649.13 = 431.29 : x
  2. Step 2: Convert to fraction form
    432.64/649.13 = 431.29/x
  3. Step 3: Cross multiply
    432.64x = 649.13 × 431.29
  4. Step 4: Simplify right side
    432.64x = 279,963.28
  5. Step 5: Solve for x
    x = 279,963.28/432.64
  6. Step 6: Final answer
    x = 647.10

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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.