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Finding the Fourth Proportional to 748.07, 1,122.14 and 261.11

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Solution

The fourth proportional to 748.07, 1,122.14 and 261.11 is: 391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.07 : 1,122.14 = 261.11 : x
  2. Step 2: Convert to fraction form
    748.07/1,122.14 = 261.11/x
  3. Step 3: Cross multiply
    748.07x = 1,122.14 × 261.11
  4. Step 4: Simplify right side
    748.07x = 293,001.98
  5. Step 5: Solve for x
    x = 293,001.98/748.07
  6. Step 6: Final answer
    x = 391.68

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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.