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Finding the Fourth Proportional to 826.61, 1,140.52 and 605.17

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Solution

The fourth proportional to 826.61, 1,140.52 and 605.17 is: 834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.61 : 1,140.52 = 605.17 : x
  2. Step 2: Convert to fraction form
    826.61/1,140.52 = 605.17/x
  3. Step 3: Cross multiply
    826.61x = 1,140.52 × 605.17
  4. Step 4: Simplify right side
    826.61x = 690,208.49
  5. Step 5: Solve for x
    x = 690,208.49/826.61
  6. Step 6: Final answer
    x = 834.99

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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.