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Finding the Fourth Proportional to 826.26, 1,140.26 and 494.70

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Solution

The fourth proportional to 826.26, 1,140.26 and 494.70 is: 682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.26 : 1,140.26 = 494.70 : x
  2. Step 2: Convert to fraction form
    826.26/1,140.26 = 494.70/x
  3. Step 3: Cross multiply
    826.26x = 1,140.26 × 494.70
  4. Step 4: Simplify right side
    826.26x = 564,084.15
  5. Step 5: Solve for x
    x = 564,084.15/826.26
  6. Step 6: Final answer
    x = 682.70

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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.