Home / 1,524.15-2,286.23-549.86

Finding the Fourth Proportional to 1,524.15, 2,286.23 and 549.86

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Solution

The fourth proportional to 1,524.15, 2,286.23 and 549.86 is: 824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.15 : 2,286.23 = 549.86 : x
  2. Step 2: Convert to fraction form
    1,524.15/2,286.23 = 549.86/x
  3. Step 3: Cross multiply
    1,524.15x = 2,286.23 × 549.86
  4. Step 4: Simplify right side
    1,524.15x = 1,257,092.25
  5. Step 5: Solve for x
    x = 1,257,092.25/1,524.15
  6. Step 6: Final answer
    x = 824.78

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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.