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Finding the Fourth Proportional to 748.52, 1,122.96 and 261.56

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Solution

The fourth proportional to 748.52, 1,122.96 and 261.56 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.52 : 1,122.96 = 261.56 : x
  2. Step 2: Convert to fraction form
    748.52/1,122.96 = 261.56/x
  3. Step 3: Cross multiply
    748.52x = 1,122.96 × 261.56
  4. Step 4: Simplify right side
    748.52x = 293,721.42
  5. Step 5: Solve for x
    x = 293,721.42/748.52
  6. Step 6: Final answer
    x = 392.40

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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.