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Finding the Fourth Proportional to 826.86, 1,238.49 and 729.66

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Solution

The fourth proportional to 826.86, 1,238.49 and 729.66 is: 1,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,238.49 = 729.66 : x
  2. Step 2: Convert to fraction form
    826.86/1,238.49 = 729.66/x
  3. Step 3: Cross multiply
    826.86x = 1,238.49 × 729.66
  4. Step 4: Simplify right side
    826.86x = 903,676.61
  5. Step 5: Solve for x
    x = 903,676.61/826.86
  6. Step 6: Final answer
    x = 1,092.90

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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.