Home / 1,524.17-2,286.06-428.65

Finding the Fourth Proportional to 1,524.17, 2,286.06 and 428.65

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Solution

The fourth proportional to 1,524.17, 2,286.06 and 428.65 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.17 : 2,286.06 = 428.65 : x
  2. Step 2: Convert to fraction form
    1,524.17/2,286.06 = 428.65/x
  3. Step 3: Cross multiply
    1,524.17x = 2,286.06 × 428.65
  4. Step 4: Simplify right side
    1,524.17x = 979,912.30
  5. Step 5: Solve for x
    x = 979,912.30/1,524.17
  6. Step 6: Final answer
    x = 642.91

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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.