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Finding the Fourth Proportional to 826.13, 1,140.18 and 494.75

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Solution

The fourth proportional to 826.13, 1,140.18 and 494.75 is: 682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,140.18 = 494.75 : x
  2. Step 2: Convert to fraction form
    826.13/1,140.18 = 494.75/x
  3. Step 3: Cross multiply
    826.13x = 1,140.18 × 494.75
  4. Step 4: Simplify right side
    826.13x = 564,104.06
  5. Step 5: Solve for x
    x = 564,104.06/826.13
  6. Step 6: Final answer
    x = 682.83

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1.5x scale

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.