Home / 1,521.35-2,282.25-643.85

Finding the Fourth Proportional to 1,521.35, 2,282.25 and 643.85

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Solution

The fourth proportional to 1,521.35, 2,282.25 and 643.85 is: 965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.35 : 2,282.25 = 643.85 : x
  2. Step 2: Convert to fraction form
    1,521.35/2,282.25 = 643.85/x
  3. Step 3: Cross multiply
    1,521.35x = 2,282.25 × 643.85
  4. Step 4: Simplify right side
    1,521.35x = 1,469,434.78
  5. Step 5: Solve for x
    x = 1,469,434.78/1,521.35
  6. Step 6: Final answer
    x = 965.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.