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Finding the Fourth Proportional to 588.80, 812.03 and 391.97

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Solution

The fourth proportional to 588.80, 812.03 and 391.97 is: 540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.80 : 812.03 = 391.97 : x
  2. Step 2: Convert to fraction form
    588.80/812.03 = 391.97/x
  3. Step 3: Cross multiply
    588.80x = 812.03 × 391.97
  4. Step 4: Simplify right side
    588.80x = 318,291.47
  5. Step 5: Solve for x
    x = 318,291.47/588.80
  6. Step 6: Final answer
    x = 540.57

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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.