Home / 1,028.15-1,541.55-378.80

Finding the Fourth Proportional to 1,028.15, 1,541.55 and 378.80

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Solution

The fourth proportional to 1,028.15, 1,541.55 and 378.80 is: 567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.15 : 1,541.55 = 378.80 : x
  2. Step 2: Convert to fraction form
    1,028.15/1,541.55 = 378.80/x
  3. Step 3: Cross multiply
    1,028.15x = 1,541.55 × 378.80
  4. Step 4: Simplify right side
    1,028.15x = 583,939.14
  5. Step 5: Solve for x
    x = 583,939.14/1,028.15
  6. Step 6: Final answer
    x = 567.95

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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.