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Finding the Fourth Proportional to 748.42, 1,121.96 and 261.14

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Solution

The fourth proportional to 748.42, 1,121.96 and 261.14 is: 391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.42 : 1,121.96 = 261.14 : x
  2. Step 2: Convert to fraction form
    748.42/1,121.96 = 261.14/x
  3. Step 3: Cross multiply
    748.42x = 1,121.96 × 261.14
  4. Step 4: Simplify right side
    748.42x = 292,988.63
  5. Step 5: Solve for x
    x = 292,988.63/748.42
  6. Step 6: Final answer
    x = 391.48

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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.