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Finding the Fourth Proportional to 854.97, 1,179.26 and 826.40

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Solution

The fourth proportional to 854.97, 1,179.26 and 826.40 is: 1,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.97 : 1,179.26 = 826.40 : x
  2. Step 2: Convert to fraction form
    854.97/1,179.26 = 826.40/x
  3. Step 3: Cross multiply
    854.97x = 1,179.26 × 826.40
  4. Step 4: Simplify right side
    854.97x = 974,530.44
  5. Step 5: Solve for x
    x = 974,530.44/854.97
  6. Step 6: Final answer
    x = 1,139.84

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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.