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Finding the Fourth Proportional to 748.77, 1,122.99 and 711.71

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Solution

The fourth proportional to 748.77, 1,122.99 and 711.71 is: 1,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.77 : 1,122.99 = 711.71 : x
  2. Step 2: Convert to fraction form
    748.77/1,122.99 = 711.71/x
  3. Step 3: Cross multiply
    748.77x = 1,122.99 × 711.71
  4. Step 4: Simplify right side
    748.77x = 799,236.85
  5. Step 5: Solve for x
    x = 799,236.85/748.77
  6. Step 6: Final answer
    x = 1,067.41

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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.