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Finding the Fourth Proportional to 1,174.57, 1,760.49 and 516.20

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Solution

The fourth proportional to 1,174.57, 1,760.49 and 516.20 is: 773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.57 : 1,760.49 = 516.20 : x
  2. Step 2: Convert to fraction form
    1,174.57/1,760.49 = 516.20/x
  3. Step 3: Cross multiply
    1,174.57x = 1,760.49 × 516.20
  4. Step 4: Simplify right side
    1,174.57x = 908,764.94
  5. Step 5: Solve for x
    x = 908,764.94/1,174.57
  6. Step 6: Final answer
    x = 773.70

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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.