Home / 1,016.20-1,524.15-285.85

Finding the Fourth Proportional to 1,016.20, 1,524.15 and 285.85

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Solution

The fourth proportional to 1,016.20, 1,524.15 and 285.85 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.20 : 1,524.15 = 285.85 : x
  2. Step 2: Convert to fraction form
    1,016.20/1,524.15 = 285.85/x
  3. Step 3: Cross multiply
    1,016.20x = 1,524.15 × 285.85
  4. Step 4: Simplify right side
    1,016.20x = 435,678.28
  5. Step 5: Solve for x
    x = 435,678.28/1,016.20
  6. Step 6: Final answer
    x = 428.73

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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.