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Finding the Fourth Proportional to 826.41, 1,238.19 and 582.42

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Solution

The fourth proportional to 826.41, 1,238.19 and 582.42 is: 872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.41 : 1,238.19 = 582.42 : x
  2. Step 2: Convert to fraction form
    826.41/1,238.19 = 582.42/x
  3. Step 3: Cross multiply
    826.41x = 1,238.19 × 582.42
  4. Step 4: Simplify right side
    826.41x = 721,146.62
  5. Step 5: Solve for x
    x = 721,146.62/826.41
  6. Step 6: Final answer
    x = 872.63

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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.