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Finding the Fourth Proportional to 733.68, 1,099.80 and 409.32

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Solution

The fourth proportional to 733.68, 1,099.80 and 409.32 is: 613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.68 : 1,099.80 = 409.32 : x
  2. Step 2: Convert to fraction form
    733.68/1,099.80 = 409.32/x
  3. Step 3: Cross multiply
    733.68x = 1,099.80 × 409.32
  4. Step 4: Simplify right side
    733.68x = 450,170.14
  5. Step 5: Solve for x
    x = 450,170.14/733.68
  6. Step 6: Final answer
    x = 613.58

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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.