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Finding the Fourth Proportional to 588.13, 881.52 and 279.54

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Solution

The fourth proportional to 588.13, 881.52 and 279.54 is: 418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.13 : 881.52 = 279.54 : x
  2. Step 2: Convert to fraction form
    588.13/881.52 = 279.54/x
  3. Step 3: Cross multiply
    588.13x = 881.52 × 279.54
  4. Step 4: Simplify right side
    588.13x = 246,418.70
  5. Step 5: Solve for x
    x = 246,418.70/588.13
  6. Step 6: Final answer
    x = 418.99

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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.