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Finding the Fourth Proportional to 757.70, 1,135.87 and 553.28

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Solution

The fourth proportional to 757.70, 1,135.87 and 553.28 is: 829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.70 : 1,135.87 = 553.28 : x
  2. Step 2: Convert to fraction form
    757.70/1,135.87 = 553.28/x
  3. Step 3: Cross multiply
    757.70x = 1,135.87 × 553.28
  4. Step 4: Simplify right side
    757.70x = 628,456.59
  5. Step 5: Solve for x
    x = 628,456.59/757.70
  6. Step 6: Final answer
    x = 829.42

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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.