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Finding the Fourth Proportional to 609.38, 908.78 and 588.12

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Solution

The fourth proportional to 609.38, 908.78 and 588.12 is: 877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.38 : 908.78 = 588.12 : x
  2. Step 2: Convert to fraction form
    609.38/908.78 = 588.12/x
  3. Step 3: Cross multiply
    609.38x = 908.78 × 588.12
  4. Step 4: Simplify right side
    609.38x = 534,471.69
  5. Step 5: Solve for x
    x = 534,471.69/609.38
  6. Step 6: Final answer
    x = 877.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.