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Finding the Fourth Proportional to 639.24, 882.42 and 432.36

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Solution

The fourth proportional to 639.24, 882.42 and 432.36 is: 596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.24 : 882.42 = 432.36 : x
  2. Step 2: Convert to fraction form
    639.24/882.42 = 432.36/x
  3. Step 3: Cross multiply
    639.24x = 882.42 × 432.36
  4. Step 4: Simplify right side
    639.24x = 381,523.11
  5. Step 5: Solve for x
    x = 381,523.11/639.24
  6. Step 6: Final answer
    x = 596.84

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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.