Home / 1,659.80-2,290.47-961.13

Finding the Fourth Proportional to 1,659.80, 2,290.47 and 961.13

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Solution

The fourth proportional to 1,659.80, 2,290.47 and 961.13 is: 1,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.80 : 2,290.47 = 961.13 : x
  2. Step 2: Convert to fraction form
    1,659.80/2,290.47 = 961.13/x
  3. Step 3: Cross multiply
    1,659.80x = 2,290.47 × 961.13
  4. Step 4: Simplify right side
    1,659.80x = 2,201,439.43
  5. Step 5: Solve for x
    x = 2,201,439.43/1,659.80
  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.