Home / 1,524.50-2,286.30-484.46

Finding the Fourth Proportional to 1,524.50, 2,286.30 and 484.46

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Solution

The fourth proportional to 1,524.50, 2,286.30 and 484.46 is: 726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.50 : 2,286.30 = 484.46 : x
  2. Step 2: Convert to fraction form
    1,524.50/2,286.30 = 484.46/x
  3. Step 3: Cross multiply
    1,524.50x = 2,286.30 × 484.46
  4. Step 4: Simplify right side
    1,524.50x = 1,107,620.90
  5. Step 5: Solve for x
    x = 1,107,620.90/1,524.50
  6. Step 6: Final answer
    x = 726.55

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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.