Home / 1,028.56-1,541.94-412.78

Finding the Fourth Proportional to 1,028.56, 1,541.94 and 412.78

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Solution

The fourth proportional to 1,028.56, 1,541.94 and 412.78 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.56 : 1,541.94 = 412.78 : x
  2. Step 2: Convert to fraction form
    1,028.56/1,541.94 = 412.78/x
  3. Step 3: Cross multiply
    1,028.56x = 1,541.94 × 412.78
  4. Step 4: Simplify right side
    1,028.56x = 636,481.99
  5. Step 5: Solve for x
    x = 636,481.99/1,028.56
  6. Step 6: Final answer
    x = 618.81

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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.