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Finding the Fourth Proportional to 638.67, 881.14 and 417.75

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Solution

The fourth proportional to 638.67, 881.14 and 417.75 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.67 : 881.14 = 417.75 : x
  2. Step 2: Convert to fraction form
    638.67/881.14 = 417.75/x
  3. Step 3: Cross multiply
    638.67x = 881.14 × 417.75
  4. Step 4: Simplify right side
    638.67x = 368,098.44
  5. Step 5: Solve for x
    x = 368,098.44/638.67
  6. Step 6: Final answer
    x = 576.35

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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.