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Finding the Fourth Proportional to 826.03, 1,238.70 and 517.42

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Solution

The fourth proportional to 826.03, 1,238.70 and 517.42 is: 775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.03 : 1,238.70 = 517.42 : x
  2. Step 2: Convert to fraction form
    826.03/1,238.70 = 517.42/x
  3. Step 3: Cross multiply
    826.03x = 1,238.70 × 517.42
  4. Step 4: Simplify right side
    826.03x = 640,928.15
  5. Step 5: Solve for x
    x = 640,928.15/826.03
  6. Step 6: Final answer
    x = 775.91

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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.