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Finding the Fourth Proportional to 748.26, 1,122.45 and 200.45

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Solution

The fourth proportional to 748.26, 1,122.45 and 200.45 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.26 : 1,122.45 = 200.45 : x
  2. Step 2: Convert to fraction form
    748.26/1,122.45 = 200.45/x
  3. Step 3: Cross multiply
    748.26x = 1,122.45 × 200.45
  4. Step 4: Simplify right side
    748.26x = 224,989.49
  5. Step 5: Solve for x
    x = 224,989.49/748.26
  6. Step 6: Final answer
    x = 300.68

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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.