Home / 1,660.53-2,290.63-961.77

Finding the Fourth Proportional to 1,660.53, 2,290.63 and 961.77

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Solution

The fourth proportional to 1,660.53, 2,290.63 and 961.77 is: 1,326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.53 : 2,290.63 = 961.77 : x
  2. Step 2: Convert to fraction form
    1,660.53/2,290.63 = 961.77/x
  3. Step 3: Cross multiply
    1,660.53x = 2,290.63 × 961.77
  4. Step 4: Simplify right side
    1,660.53x = 2,203,059.22
  5. Step 5: Solve for x
    x = 2,203,059.22/1,660.53
  6. Step 6: Final answer
    x = 1,326.72

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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.