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Finding the Fourth Proportional to 826.33, 1,139.80 and 494.50

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Solution

The fourth proportional to 826.33, 1,139.80 and 494.50 is: 682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.33 : 1,139.80 = 494.50 : x
  2. Step 2: Convert to fraction form
    826.33/1,139.80 = 494.50/x
  3. Step 3: Cross multiply
    826.33x = 1,139.80 × 494.50
  4. Step 4: Simplify right side
    826.33x = 563,631.10
  5. Step 5: Solve for x
    x = 563,631.10/826.33
  6. Step 6: Final answer
    x = 682.09

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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.