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Finding the Fourth Proportional to 733.19, 1,099.31 and 408.11

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Solution

The fourth proportional to 733.19, 1,099.31 and 408.11 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.19 : 1,099.31 = 408.11 : x
  2. Step 2: Convert to fraction form
    733.19/1,099.31 = 408.11/x
  3. Step 3: Cross multiply
    733.19x = 1,099.31 × 408.11
  4. Step 4: Simplify right side
    733.19x = 448,631.87
  5. Step 5: Solve for x
    x = 448,631.87/733.19
  6. Step 6: Final answer
    x = 611.89

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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.