Home / 1,028.31-1,542.57-287.97

Finding the Fourth Proportional to 1,028.31, 1,542.57 and 287.97

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Solution

The fourth proportional to 1,028.31, 1,542.57 and 287.97 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.31 : 1,542.57 = 287.97 : x
  2. Step 2: Convert to fraction form
    1,028.31/1,542.57 = 287.97/x
  3. Step 3: Cross multiply
    1,028.31x = 1,542.57 × 287.97
  4. Step 4: Simplify right side
    1,028.31x = 444,220.84
  5. Step 5: Solve for x
    x = 444,220.84/1,028.31
  6. Step 6: Final answer
    x = 431.99

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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.