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Finding the Fourth Proportional to 838.46, 1,257.60 and 513.26

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Solution

The fourth proportional to 838.46, 1,257.60 and 513.26 is: 769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.46 : 1,257.60 = 513.26 : x
  2. Step 2: Convert to fraction form
    838.46/1,257.60 = 513.26/x
  3. Step 3: Cross multiply
    838.46x = 1,257.60 × 513.26
  4. Step 4: Simplify right side
    838.46x = 645,475.78
  5. Step 5: Solve for x
    x = 645,475.78/838.46
  6. Step 6: Final answer
    x = 769.83

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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.