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Finding the Fourth Proportional to 588.09, 811.71 and 391.80

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Solution

The fourth proportional to 588.09, 811.71 and 391.80 is: 540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.09 : 811.71 = 391.80 : x
  2. Step 2: Convert to fraction form
    588.09/811.71 = 391.80/x
  3. Step 3: Cross multiply
    588.09x = 811.71 × 391.80
  4. Step 4: Simplify right side
    588.09x = 318,027.98
  5. Step 5: Solve for x
    x = 318,027.98/588.09
  6. Step 6: Final answer
    x = 540.78

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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.