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Finding the Fourth Proportional to 1,047.74, 1,443.49 and 826.61

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Solution

The fourth proportional to 1,047.74, 1,443.49 and 826.61 is: 1,138.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.74 : 1,443.49 = 826.61 : x
  2. Step 2: Convert to fraction form
    1,047.74/1,443.49 = 826.61/x
  3. Step 3: Cross multiply
    1,047.74x = 1,443.49 × 826.61
  4. Step 4: Simplify right side
    1,047.74x = 1,193,193.98
  5. Step 5: Solve for x
    x = 1,193,193.98/1,047.74
  6. Step 6: Final answer
    x = 1,138.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.