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Finding the Fourth Proportional to 657.38, 908.40 and 636.02

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Solution

The fourth proportional to 657.38, 908.40 and 636.02 is: 878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 908.40 = 636.02 : x
  2. Step 2: Convert to fraction form
    657.38/908.40 = 636.02/x
  3. Step 3: Cross multiply
    657.38x = 908.40 × 636.02
  4. Step 4: Simplify right side
    657.38x = 577,760.57
  5. Step 5: Solve for x
    x = 577,760.57/657.38
  6. Step 6: Final answer
    x = 878.88

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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.