Home / 1,027.32-1,541.20-296.90

Finding the Fourth Proportional to 1,027.32, 1,541.20 and 296.90

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Solution

The fourth proportional to 1,027.32, 1,541.20 and 296.90 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.32 : 1,541.20 = 296.90 : x
  2. Step 2: Convert to fraction form
    1,027.32/1,541.20 = 296.90/x
  3. Step 3: Cross multiply
    1,027.32x = 1,541.20 × 296.90
  4. Step 4: Simplify right side
    1,027.32x = 457,582.28
  5. Step 5: Solve for x
    x = 457,582.28/1,027.32
  6. Step 6: Final answer
    x = 445.41

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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.