Home / 1,027.16-1,540.60-296.80

Finding the Fourth Proportional to 1,027.16, 1,540.60 and 296.80

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Solution

The fourth proportional to 1,027.16, 1,540.60 and 296.80 is: 445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.16 : 1,540.60 = 296.80 : x
  2. Step 2: Convert to fraction form
    1,027.16/1,540.60 = 296.80/x
  3. Step 3: Cross multiply
    1,027.16x = 1,540.60 × 296.80
  4. Step 4: Simplify right side
    1,027.16x = 457,250.08
  5. Step 5: Solve for x
    x = 457,250.08/1,027.16
  6. Step 6: Final answer
    x = 445.16

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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.