Home / 1,028.25-1,541.97-378.54

Finding the Fourth Proportional to 1,028.25, 1,541.97 and 378.54

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Solution

The fourth proportional to 1,028.25, 1,541.97 and 378.54 is: 567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.25 : 1,541.97 = 378.54 : x
  2. Step 2: Convert to fraction form
    1,028.25/1,541.97 = 378.54/x
  3. Step 3: Cross multiply
    1,028.25x = 1,541.97 × 378.54
  4. Step 4: Simplify right side
    1,028.25x = 583,697.32
  5. Step 5: Solve for x
    x = 583,697.32/1,028.25
  6. Step 6: Final answer
    x = 567.66

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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.