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Finding the Fourth Proportional to 826.11, 1,239.63 and 339.06

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Solution

The fourth proportional to 826.11, 1,239.63 and 339.06 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.11 : 1,239.63 = 339.06 : x
  2. Step 2: Convert to fraction form
    826.11/1,239.63 = 339.06/x
  3. Step 3: Cross multiply
    826.11x = 1,239.63 × 339.06
  4. Step 4: Simplify right side
    826.11x = 420,308.95
  5. Step 5: Solve for x
    x = 420,308.95/826.11
  6. Step 6: Final answer
    x = 508.78

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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.