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Finding the Fourth Proportional to 826.06, 1,239.22 and 338.98

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Solution

The fourth proportional to 826.06, 1,239.22 and 338.98 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.06 : 1,239.22 = 338.98 : x
  2. Step 2: Convert to fraction form
    826.06/1,239.22 = 338.98/x
  3. Step 3: Cross multiply
    826.06x = 1,239.22 × 338.98
  4. Step 4: Simplify right side
    826.06x = 420,070.80
  5. Step 5: Solve for x
    x = 420,070.80/826.06
  6. Step 6: Final answer
    x = 508.52

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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.