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Finding the Fourth Proportional to 748.13, 1,122.20 and 200.32

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Solution

The fourth proportional to 748.13, 1,122.20 and 200.32 is: 300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.13 : 1,122.20 = 200.32 : x
  2. Step 2: Convert to fraction form
    748.13/1,122.20 = 200.32/x
  3. Step 3: Cross multiply
    748.13x = 1,122.20 × 200.32
  4. Step 4: Simplify right side
    748.13x = 224,792.49
  5. Step 5: Solve for x
    x = 224,792.49/748.13
  6. Step 6: Final answer
    x = 300.47

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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.