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Finding the Fourth Proportional to 862.35, 1,291.24 and 588.97

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Solution

The fourth proportional to 862.35, 1,291.24 and 588.97 is: 881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.35 : 1,291.24 = 588.97 : x
  2. Step 2: Convert to fraction form
    862.35/1,291.24 = 588.97/x
  3. Step 3: Cross multiply
    862.35x = 1,291.24 × 588.97
  4. Step 4: Simplify right side
    862.35x = 760,503.97
  5. Step 5: Solve for x
    x = 760,503.97/862.35
  6. Step 6: Final answer
    x = 881.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.