Home / 1,524.50-2,286.48-428.60

Finding the Fourth Proportional to 1,524.50, 2,286.48 and 428.60

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Solution

The fourth proportional to 1,524.50, 2,286.48 and 428.60 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.50 : 2,286.48 = 428.60 : x
  2. Step 2: Convert to fraction form
    1,524.50/2,286.48 = 428.60/x
  3. Step 3: Cross multiply
    1,524.50x = 2,286.48 × 428.60
  4. Step 4: Simplify right side
    1,524.50x = 979,991.04
  5. Step 5: Solve for x
    x = 979,991.04/1,524.50
  6. Step 6: Final answer
    x = 642.83

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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.