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Finding the Fourth Proportional to 1,291, 1,781.58 and 825.88

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Solution

The fourth proportional to 1,291, 1,781.58 and 825.88 is: 1,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291 : 1,781.58 = 825.88 : x
  2. Step 2: Convert to fraction form
    1,291/1,781.58 = 825.88/x
  3. Step 3: Cross multiply
    1,291x = 1,781.58 × 825.88
  4. Step 4: Simplify right side
    1,291x = 1,471,371.29
  5. Step 5: Solve for x
    x = 1,471,371.29/1,291
  6. Step 6: Final answer
    x = 1,139.71

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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.