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Finding the Fourth Proportional to 732.49, 1,099.05 and 385.75

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Solution

The fourth proportional to 732.49, 1,099.05 and 385.75 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.49 : 1,099.05 = 385.75 : x
  2. Step 2: Convert to fraction form
    732.49/1,099.05 = 385.75/x
  3. Step 3: Cross multiply
    732.49x = 1,099.05 × 385.75
  4. Step 4: Simplify right side
    732.49x = 423,954.45
  5. Step 5: Solve for x
    x = 423,954.45/732.49
  6. Step 6: Final answer
    x = 578.78

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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.