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Finding the Fourth Proportional to 1,659.76, 2,290.44 and 961.12

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Solution

The fourth proportional to 1,659.76, 2,290.44 and 961.12 is: 1,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.76 : 2,290.44 = 961.12 : x
  2. Step 2: Convert to fraction form
    1,659.76/2,290.44 = 961.12/x
  3. Step 3: Cross multiply
    1,659.76x = 2,290.44 × 961.12
  4. Step 4: Simplify right side
    1,659.76x = 2,201,387.69
  5. Step 5: Solve for x
    x = 2,201,387.69/1,659.76
  6. Step 6: Final answer
    x = 1,326.33

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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.