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Finding the Fourth Proportional to 757.40, 1,133.22 and 717.80

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Solution

The fourth proportional to 757.40, 1,133.22 and 717.80 is: 1,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.40 : 1,133.22 = 717.80 : x
  2. Step 2: Convert to fraction form
    757.40/1,133.22 = 717.80/x
  3. Step 3: Cross multiply
    757.40x = 1,133.22 × 717.80
  4. Step 4: Simplify right side
    757.40x = 813,425.32
  5. Step 5: Solve for x
    x = 813,425.32/757.40
  6. Step 6: Final answer
    x = 1,073.97

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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.