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Finding the Fourth Proportional to 826.74, 1,240.11 and 484.50

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Solution

The fourth proportional to 826.74, 1,240.11 and 484.50 is: 726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.74 : 1,240.11 = 484.50 : x
  2. Step 2: Convert to fraction form
    826.74/1,240.11 = 484.50/x
  3. Step 3: Cross multiply
    826.74x = 1,240.11 × 484.50
  4. Step 4: Simplify right side
    826.74x = 600,833.30
  5. Step 5: Solve for x
    x = 600,833.30/826.74
  6. Step 6: Final answer
    x = 726.75

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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.