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Finding the Fourth Proportional to 733.61, 1,098.72 and 408.26

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Solution

The fourth proportional to 733.61, 1,098.72 and 408.26 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.61 : 1,098.72 = 408.26 : x
  2. Step 2: Convert to fraction form
    733.61/1,098.72 = 408.26/x
  3. Step 3: Cross multiply
    733.61x = 1,098.72 × 408.26
  4. Step 4: Simplify right side
    733.61x = 448,557.93
  5. Step 5: Solve for x
    x = 448,557.93/733.61
  6. Step 6: Final answer
    x = 611.44

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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.