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Finding the Fourth Proportional to 748.20, 1,122.81 and 261.25

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Solution

The fourth proportional to 748.20, 1,122.81 and 261.25 is: 392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.20 : 1,122.81 = 261.25 : x
  2. Step 2: Convert to fraction form
    748.20/1,122.81 = 261.25/x
  3. Step 3: Cross multiply
    748.20x = 1,122.81 × 261.25
  4. Step 4: Simplify right side
    748.20x = 293,331.31
  5. Step 5: Solve for x
    x = 293,331.31/748.20
  6. Step 6: Final answer
    x = 392.05

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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.