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Finding the Fourth Proportional to 1,112.97, 1,659.66 and 959.88

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Solution

The fourth proportional to 1,112.97, 1,659.66 and 959.88 is: 1,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.97 : 1,659.66 = 959.88 : x
  2. Step 2: Convert to fraction form
    1,112.97/1,659.66 = 959.88/x
  3. Step 3: Cross multiply
    1,112.97x = 1,659.66 × 959.88
  4. Step 4: Simplify right side
    1,112.97x = 1,593,077.06
  5. Step 5: Solve for x
    x = 1,593,077.06/1,112.97
  6. Step 6: Final answer
    x = 1,431.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.