Home / 1,028.26-1,542.49-287.87

Finding the Fourth Proportional to 1,028.26, 1,542.49 and 287.87

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Solution

The fourth proportional to 1,028.26, 1,542.49 and 287.87 is: 431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.26 : 1,542.49 = 287.87 : x
  2. Step 2: Convert to fraction form
    1,028.26/1,542.49 = 287.87/x
  3. Step 3: Cross multiply
    1,028.26x = 1,542.49 × 287.87
  4. Step 4: Simplify right side
    1,028.26x = 444,035.16
  5. Step 5: Solve for x
    x = 444,035.16/1,028.26
  6. Step 6: Final answer
    x = 431.83

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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.