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Finding the Fourth Proportional to 674.28, 930.27 and 516.96

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Solution

The fourth proportional to 674.28, 930.27 and 516.96 is: 713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.28 : 930.27 = 516.96 : x
  2. Step 2: Convert to fraction form
    674.28/930.27 = 516.96/x
  3. Step 3: Cross multiply
    674.28x = 930.27 × 516.96
  4. Step 4: Simplify right side
    674.28x = 480,912.38
  5. Step 5: Solve for x
    x = 480,912.38/674.28
  6. Step 6: Final answer
    x = 713.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.