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Finding the Fourth Proportional to 732.26, 1,099.20 and 408.26

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Solution

The fourth proportional to 732.26, 1,099.20 and 408.26 is: 612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.26 : 1,099.20 = 408.26 : x
  2. Step 2: Convert to fraction form
    732.26/1,099.20 = 408.26/x
  3. Step 3: Cross multiply
    732.26x = 1,099.20 × 408.26
  4. Step 4: Simplify right side
    732.26x = 448,759.39
  5. Step 5: Solve for x
    x = 448,759.39/732.26
  6. Step 6: Final answer
    x = 612.84

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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.