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Finding the Fourth Proportional to 636.08, 878.62 and 488.46

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Solution

The fourth proportional to 636.08, 878.62 and 488.46 is: 674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.08 : 878.62 = 488.46 : x
  2. Step 2: Convert to fraction form
    636.08/878.62 = 488.46/x
  3. Step 3: Cross multiply
    636.08x = 878.62 × 488.46
  4. Step 4: Simplify right side
    636.08x = 429,170.73
  5. Step 5: Solve for x
    x = 429,170.73/636.08
  6. Step 6: Final answer
    x = 674.71

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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.