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Finding the Fourth Proportional to 732.61, 1,099.11 and 321.83

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Solution

The fourth proportional to 732.61, 1,099.11 and 321.83 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.61 : 1,099.11 = 321.83 : x
  2. Step 2: Convert to fraction form
    732.61/1,099.11 = 321.83/x
  3. Step 3: Cross multiply
    732.61x = 1,099.11 × 321.83
  4. Step 4: Simplify right side
    732.61x = 353,726.57
  5. Step 5: Solve for x
    x = 353,726.57/732.61
  6. Step 6: Final answer
    x = 482.83

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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.