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Finding the Fourth Proportional to 636.80, 877.84 and 449.71

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Solution

The fourth proportional to 636.80, 877.84 and 449.71 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.80 : 877.84 = 449.71 : x
  2. Step 2: Convert to fraction form
    636.80/877.84 = 449.71/x
  3. Step 3: Cross multiply
    636.80x = 877.84 × 449.71
  4. Step 4: Simplify right side
    636.80x = 394,770.11
  5. Step 5: Solve for x
    x = 394,770.11/636.80
  6. Step 6: Final answer
    x = 619.93

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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.