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Finding the Fourth Proportional to 638.91, 882.56 and 500.77

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Solution

The fourth proportional to 638.91, 882.56 and 500.77 is: 691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.91 : 882.56 = 500.77 : x
  2. Step 2: Convert to fraction form
    638.91/882.56 = 500.77/x
  3. Step 3: Cross multiply
    638.91x = 882.56 × 500.77
  4. Step 4: Simplify right side
    638.91x = 441,961.93
  5. Step 5: Solve for x
    x = 441,961.93/638.91
  6. Step 6: Final answer
    x = 691.74

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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.