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Finding the Fourth Proportional to 639.24, 959.66 and 432.96

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Solution

The fourth proportional to 639.24, 959.66 and 432.96 is: 649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.24 : 959.66 = 432.96 : x
  2. Step 2: Convert to fraction form
    639.24/959.66 = 432.96/x
  3. Step 3: Cross multiply
    639.24x = 959.66 × 432.96
  4. Step 4: Simplify right side
    639.24x = 415,494.39
  5. Step 5: Solve for x
    x = 415,494.39/639.24
  6. Step 6: Final answer
    x = 649.98

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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.