Home / 1,027.91-1,541.97-378.56

Finding the Fourth Proportional to 1,027.91, 1,541.97 and 378.56

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Solution

The fourth proportional to 1,027.91, 1,541.97 and 378.56 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.91 : 1,541.97 = 378.56 : x
  2. Step 2: Convert to fraction form
    1,027.91/1,541.97 = 378.56/x
  3. Step 3: Cross multiply
    1,027.91x = 1,541.97 × 378.56
  4. Step 4: Simplify right side
    1,027.91x = 583,732.02
  5. Step 5: Solve for x
    x = 583,732.02/1,027.91
  6. Step 6: Final answer
    x = 567.88

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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.