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Finding the Fourth Proportional to 826.62, 1,138.95 and 796.38

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Solution

The fourth proportional to 826.62, 1,138.95 and 796.38 is: 1,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.62 : 1,138.95 = 796.38 : x
  2. Step 2: Convert to fraction form
    826.62/1,138.95 = 796.38/x
  3. Step 3: Cross multiply
    826.62x = 1,138.95 × 796.38
  4. Step 4: Simplify right side
    826.62x = 907,037.00
  5. Step 5: Solve for x
    x = 907,037.00/826.62
  6. Step 6: Final answer
    x = 1,097.28

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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.