Home / 1,028.06-1,542.15-378.57

Finding the Fourth Proportional to 1,028.06, 1,542.15 and 378.57

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Solution

The fourth proportional to 1,028.06, 1,542.15 and 378.57 is: 567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,542.15 = 378.57 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,542.15 = 378.57/x
  3. Step 3: Cross multiply
    1,028.06x = 1,542.15 × 378.57
  4. Step 4: Simplify right side
    1,028.06x = 583,811.73
  5. Step 5: Solve for x
    x = 583,811.73/1,028.06
  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.