Home / 1,524.24-2,286.42-428.52

Finding the Fourth Proportional to 1,524.24, 2,286.42 and 428.52

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Solution

The fourth proportional to 1,524.24, 2,286.42 and 428.52 is: 642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.24 : 2,286.42 = 428.52 : x
  2. Step 2: Convert to fraction form
    1,524.24/2,286.42 = 428.52/x
  3. Step 3: Cross multiply
    1,524.24x = 2,286.42 × 428.52
  4. Step 4: Simplify right side
    1,524.24x = 979,776.70
  5. Step 5: Solve for x
    x = 979,776.70/1,524.24
  6. Step 6: Final answer
    x = 642.80

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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.