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Finding the Fourth Proportional to 638.26, 881.94 and 498.73

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Solution

The fourth proportional to 638.26, 881.94 and 498.73 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.26 : 881.94 = 498.73 : x
  2. Step 2: Convert to fraction form
    638.26/881.94 = 498.73/x
  3. Step 3: Cross multiply
    638.26x = 881.94 × 498.73
  4. Step 4: Simplify right side
    638.26x = 439,849.94
  5. Step 5: Solve for x
    x = 439,849.94/638.26
  6. Step 6: Final answer
    x = 689.14

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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.