Home / 1,660.34-2,291.25-961.78

Finding the Fourth Proportional to 1,660.34, 2,291.25 and 961.78

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Solution

The fourth proportional to 1,660.34, 2,291.25 and 961.78 is: 1,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.34 : 2,291.25 = 961.78 : x
  2. Step 2: Convert to fraction form
    1,660.34/2,291.25 = 961.78/x
  3. Step 3: Cross multiply
    1,660.34x = 2,291.25 × 961.78
  4. Step 4: Simplify right side
    1,660.34x = 2,203,678.43
  5. Step 5: Solve for x
    x = 2,203,678.43/1,660.34
  6. Step 6: Final answer
    x = 1,327.25

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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.