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Finding the Fourth Proportional to 513.87, 709.17 and 292.79

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Solution

The fourth proportional to 513.87, 709.17 and 292.79 is: 404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.87 : 709.17 = 292.79 : x
  2. Step 2: Convert to fraction form
    513.87/709.17 = 292.79/x
  3. Step 3: Cross multiply
    513.87x = 709.17 × 292.79
  4. Step 4: Simplify right side
    513.87x = 207,633.24
  5. Step 5: Solve for x
    x = 207,633.24/513.87
  6. Step 6: Final answer
    x = 404.06

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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.