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Finding the Fourth Proportional to 826.29, 1,239.09 and 363.83

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Solution

The fourth proportional to 826.29, 1,239.09 and 363.83 is: 545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.29 : 1,239.09 = 363.83 : x
  2. Step 2: Convert to fraction form
    826.29/1,239.09 = 363.83/x
  3. Step 3: Cross multiply
    826.29x = 1,239.09 × 363.83
  4. Step 4: Simplify right side
    826.29x = 450,818.11
  5. Step 5: Solve for x
    x = 450,818.11/826.29
  6. Step 6: Final answer
    x = 545.59

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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.