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Finding the Fourth Proportional to 826.39, 1,139.43 and 605.26

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Solution

The fourth proportional to 826.39, 1,139.43 and 605.26 is: 834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.39 : 1,139.43 = 605.26 : x
  2. Step 2: Convert to fraction form
    826.39/1,139.43 = 605.26/x
  3. Step 3: Cross multiply
    826.39x = 1,139.43 × 605.26
  4. Step 4: Simplify right side
    826.39x = 689,651.40
  5. Step 5: Solve for x
    x = 689,651.40/826.39
  6. Step 6: Final answer
    x = 834.54

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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.