Home / 1,028.70-1,542.90-298.20

Finding the Fourth Proportional to 1,028.70, 1,542.90 and 298.20

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Solution

The fourth proportional to 1,028.70, 1,542.90 and 298.20 is: 447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.70 : 1,542.90 = 298.20 : x
  2. Step 2: Convert to fraction form
    1,028.70/1,542.90 = 298.20/x
  3. Step 3: Cross multiply
    1,028.70x = 1,542.90 × 298.20
  4. Step 4: Simplify right side
    1,028.70x = 460,092.78
  5. Step 5: Solve for x
    x = 460,092.78/1,028.70
  6. Step 6: Final answer
    x = 447.26

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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.