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Finding the Fourth Proportional to 639.69, 882.85 and 463.23

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Solution

The fourth proportional to 639.69, 882.85 and 463.23 is: 639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.69 : 882.85 = 463.23 : x
  2. Step 2: Convert to fraction form
    639.69/882.85 = 463.23/x
  3. Step 3: Cross multiply
    639.69x = 882.85 × 463.23
  4. Step 4: Simplify right side
    639.69x = 408,962.61
  5. Step 5: Solve for x
    x = 408,962.61/639.69
  6. Step 6: Final answer
    x = 639.31

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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.