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Finding the Fourth Proportional to 512.72, 708.41 and 494.27

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Solution

The fourth proportional to 512.72, 708.41 and 494.27 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 708.41 = 494.27 : x
  2. Step 2: Convert to fraction form
    512.72/708.41 = 494.27/x
  3. Step 3: Cross multiply
    512.72x = 708.41 × 494.27
  4. Step 4: Simplify right side
    512.72x = 350,139.80
  5. Step 5: Solve for x
    x = 350,139.80/512.72
  6. Step 6: Final answer
    x = 682.91

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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.