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Finding the Fourth Proportional to 748.57, 1,122.77 and 200.81

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Solution

The fourth proportional to 748.57, 1,122.77 and 200.81 is: 301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.57 : 1,122.77 = 200.81 : x
  2. Step 2: Convert to fraction form
    748.57/1,122.77 = 200.81/x
  3. Step 3: Cross multiply
    748.57x = 1,122.77 × 200.81
  4. Step 4: Simplify right side
    748.57x = 225,458.33
  5. Step 5: Solve for x
    x = 225,458.33/748.57
  6. Step 6: Final answer
    x = 301.19

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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.