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Finding the Fourth Proportional to 1,691.25, 2,334 and 945.39

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Solution

The fourth proportional to 1,691.25, 2,334 and 945.39 is: 1,304.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.25 : 2,334 = 945.39 : x
  2. Step 2: Convert to fraction form
    1,691.25/2,334 = 945.39/x
  3. Step 3: Cross multiply
    1,691.25x = 2,334 × 945.39
  4. Step 4: Simplify right side
    1,691.25x = 2,206,540.26
  5. Step 5: Solve for x
    x = 2,206,540.26/1,691.25
  6. Step 6: Final answer
    x = 1,304.68

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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.