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Finding the Fourth Proportional to 638.52, 881.97 and 492.96

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Solution

The fourth proportional to 638.52, 881.97 and 492.96 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.52 : 881.97 = 492.96 : x
  2. Step 2: Convert to fraction form
    638.52/881.97 = 492.96/x
  3. Step 3: Cross multiply
    638.52x = 881.97 × 492.96
  4. Step 4: Simplify right side
    638.52x = 434,775.93
  5. Step 5: Solve for x
    x = 434,775.93/638.52
  6. Step 6: Final answer
    x = 680.91

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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.