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Finding the Fourth Proportional to 636.97, 878.67 and 416.14

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Solution

The fourth proportional to 636.97, 878.67 and 416.14 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.97 : 878.67 = 416.14 : x
  2. Step 2: Convert to fraction form
    636.97/878.67 = 416.14/x
  3. Step 3: Cross multiply
    636.97x = 878.67 × 416.14
  4. Step 4: Simplify right side
    636.97x = 365,649.73
  5. Step 5: Solve for x
    x = 365,649.73/636.97
  6. Step 6: Final answer
    x = 574.05

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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.