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Finding the Fourth Proportional to 637.14, 878.37 and 426.95

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Solution

The fourth proportional to 637.14, 878.37 and 426.95 is: 588.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.14 : 878.37 = 426.95 : x
  2. Step 2: Convert to fraction form
    637.14/878.37 = 426.95/x
  3. Step 3: Cross multiply
    637.14x = 878.37 × 426.95
  4. Step 4: Simplify right side
    637.14x = 375,013.54
  5. Step 5: Solve for x
    x = 375,013.54/637.14
  6. Step 6: Final answer
    x = 588.59

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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.