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Finding the Fourth Proportional to 513.87, 769.21 and 411.37

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Solution

The fourth proportional to 513.87, 769.21 and 411.37 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.87 : 769.21 = 411.37 : x
  2. Step 2: Convert to fraction form
    513.87/769.21 = 411.37/x
  3. Step 3: Cross multiply
    513.87x = 769.21 × 411.37
  4. Step 4: Simplify right side
    513.87x = 316,429.92
  5. Step 5: Solve for x
    x = 316,429.92/513.87
  6. Step 6: Final answer
    x = 615.78

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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.