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Finding the Fourth Proportional to 639.14, 881.73 and 406.13

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Solution

The fourth proportional to 639.14, 881.73 and 406.13 is: 560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.14 : 881.73 = 406.13 : x
  2. Step 2: Convert to fraction form
    639.14/881.73 = 406.13/x
  3. Step 3: Cross multiply
    639.14x = 881.73 × 406.13
  4. Step 4: Simplify right side
    639.14x = 358,092.60
  5. Step 5: Solve for x
    x = 358,092.60/639.14
  6. Step 6: Final answer
    x = 560.28

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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.