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Finding the Fourth Proportional to 732.68, 1,097.62 and 408.28

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Solution

The fourth proportional to 732.68, 1,097.62 and 408.28 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.68 : 1,097.62 = 408.28 : x
  2. Step 2: Convert to fraction form
    732.68/1,097.62 = 408.28/x
  3. Step 3: Cross multiply
    732.68x = 1,097.62 × 408.28
  4. Step 4: Simplify right side
    732.68x = 448,136.29
  5. Step 5: Solve for x
    x = 448,136.29/732.68
  6. Step 6: Final answer
    x = 611.64

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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.