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Finding the Fourth Proportional to 639.52, 883.18 and 418.38

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Solution

The fourth proportional to 639.52, 883.18 and 418.38 is: 577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.52 : 883.18 = 418.38 : x
  2. Step 2: Convert to fraction form
    639.52/883.18 = 418.38/x
  3. Step 3: Cross multiply
    639.52x = 883.18 × 418.38
  4. Step 4: Simplify right side
    639.52x = 369,504.85
  5. Step 5: Solve for x
    x = 369,504.85/639.52
  6. Step 6: Final answer
    x = 577.78

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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.