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Finding the Fourth Proportional to 757.54, 1,134.96 and 513.19

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Solution

The fourth proportional to 757.54, 1,134.96 and 513.19 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.54 : 1,134.96 = 513.19 : x
  2. Step 2: Convert to fraction form
    757.54/1,134.96 = 513.19/x
  3. Step 3: Cross multiply
    757.54x = 1,134.96 × 513.19
  4. Step 4: Simplify right side
    757.54x = 582,450.12
  5. Step 5: Solve for x
    x = 582,450.12/757.54
  6. Step 6: Final answer
    x = 768.87

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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.