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Finding the Fourth Proportional to 639.42, 954.35 and 588.12

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Solution

The fourth proportional to 639.42, 954.35 and 588.12 is: 877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.42 : 954.35 = 588.12 : x
  2. Step 2: Convert to fraction form
    639.42/954.35 = 588.12/x
  3. Step 3: Cross multiply
    639.42x = 954.35 × 588.12
  4. Step 4: Simplify right side
    639.42x = 561,269.38
  5. Step 5: Solve for x
    x = 561,269.38/639.42
  6. Step 6: Final answer
    x = 877.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.