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Finding the Fourth Proportional to 732.88, 1,099.38 and 367.48

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Solution

The fourth proportional to 732.88, 1,099.38 and 367.48 is: 551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.88 : 1,099.38 = 367.48 : x
  2. Step 2: Convert to fraction form
    732.88/1,099.38 = 367.48/x
  3. Step 3: Cross multiply
    732.88x = 1,099.38 × 367.48
  4. Step 4: Simplify right side
    732.88x = 404,000.16
  5. Step 5: Solve for x
    x = 404,000.16/732.88
  6. Step 6: Final answer
    x = 551.25

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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.