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Finding the Fourth Proportional to 732.86, 1,093.18 and 663.61

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Solution

The fourth proportional to 732.86, 1,093.18 and 663.61 is: 989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.86 : 1,093.18 = 663.61 : x
  2. Step 2: Convert to fraction form
    732.86/1,093.18 = 663.61/x
  3. Step 3: Cross multiply
    732.86x = 1,093.18 × 663.61
  4. Step 4: Simplify right side
    732.86x = 725,445.18
  5. Step 5: Solve for x
    x = 725,445.18/732.86
  6. Step 6: Final answer
    x = 989.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.