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Finding the Fourth Proportional to 729.22, 1,092.24 and 591.63

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Solution

The fourth proportional to 729.22, 1,092.24 and 591.63 is: 886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.22 : 1,092.24 = 591.63 : x
  2. Step 2: Convert to fraction form
    729.22/1,092.24 = 591.63/x
  3. Step 3: Cross multiply
    729.22x = 1,092.24 × 591.63
  4. Step 4: Simplify right side
    729.22x = 646,201.95
  5. Step 5: Solve for x
    x = 646,201.95/729.22
  6. Step 6: Final answer
    x = 886.16

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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.