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Finding the Fourth Proportional to 826.36, 1,140.17 and 494.90

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Solution

The fourth proportional to 826.36, 1,140.17 and 494.90 is: 682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.36 : 1,140.17 = 494.90 : x
  2. Step 2: Convert to fraction form
    826.36/1,140.17 = 494.90/x
  3. Step 3: Cross multiply
    826.36x = 1,140.17 × 494.90
  4. Step 4: Simplify right side
    826.36x = 564,270.13
  5. Step 5: Solve for x
    x = 564,270.13/826.36
  6. Step 6: Final answer
    x = 682.84

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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.