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Finding the Fourth Proportional to 721.31, 1,081.49 and 592.52

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Solution

The fourth proportional to 721.31, 1,081.49 and 592.52 is: 888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.31 : 1,081.49 = 592.52 : x
  2. Step 2: Convert to fraction form
    721.31/1,081.49 = 592.52/x
  3. Step 3: Cross multiply
    721.31x = 1,081.49 × 592.52
  4. Step 4: Simplify right side
    721.31x = 640,796.08
  5. Step 5: Solve for x
    x = 640,796.08/721.31
  6. Step 6: Final answer
    x = 888.38

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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.