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Finding the Fourth Proportional to 748.45, 1,123.19 and 261.50

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Solution

The fourth proportional to 748.45, 1,123.19 and 261.50 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.45 : 1,123.19 = 261.50 : x
  2. Step 2: Convert to fraction form
    748.45/1,123.19 = 261.50/x
  3. Step 3: Cross multiply
    748.45x = 1,123.19 × 261.50
  4. Step 4: Simplify right side
    748.45x = 293,712.88
  5. Step 5: Solve for x
    x = 293,712.88/748.45
  6. Step 6: Final answer
    x = 392.43

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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.