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Finding the Fourth Proportional to 732.87, 1,099.19 and 219.75

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Solution

The fourth proportional to 732.87, 1,099.19 and 219.75 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.87 : 1,099.19 = 219.75 : x
  2. Step 2: Convert to fraction form
    732.87/1,099.19 = 219.75/x
  3. Step 3: Cross multiply
    732.87x = 1,099.19 × 219.75
  4. Step 4: Simplify right side
    732.87x = 241,545.90
  5. Step 5: Solve for x
    x = 241,545.90/732.87
  6. Step 6: Final answer
    x = 329.59

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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.