Home / 1,027.13-1,540.70-296.75

Finding the Fourth Proportional to 1,027.13, 1,540.70 and 296.75

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Solution

The fourth proportional to 1,027.13, 1,540.70 and 296.75 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.13 : 1,540.70 = 296.75 : x
  2. Step 2: Convert to fraction form
    1,027.13/1,540.70 = 296.75/x
  3. Step 3: Cross multiply
    1,027.13x = 1,540.70 × 296.75
  4. Step 4: Simplify right side
    1,027.13x = 457,202.73
  5. Step 5: Solve for x
    x = 457,202.73/1,027.13
  6. Step 6: Final answer
    x = 445.13

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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.