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Finding the Fourth Proportional to 826.75, 1,140.50 and 494.96

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Solution

The fourth proportional to 826.75, 1,140.50 and 494.96 is: 682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.75 : 1,140.50 = 494.96 : x
  2. Step 2: Convert to fraction form
    826.75/1,140.50 = 494.96/x
  3. Step 3: Cross multiply
    826.75x = 1,140.50 × 494.96
  4. Step 4: Simplify right side
    826.75x = 564,497.41
  5. Step 5: Solve for x
    x = 564,497.41/826.75
  6. Step 6: Final answer
    x = 682.79

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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.