Home / 1,028.40-1,542.68-335.17

Finding the Fourth Proportional to 1,028.40, 1,542.68 and 335.17

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Solution

The fourth proportional to 1,028.40, 1,542.68 and 335.17 is: 502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.40 : 1,542.68 = 335.17 : x
  2. Step 2: Convert to fraction form
    1,028.40/1,542.68 = 335.17/x
  3. Step 3: Cross multiply
    1,028.40x = 1,542.68 × 335.17
  4. Step 4: Simplify right side
    1,028.40x = 517,061.56
  5. Step 5: Solve for x
    x = 517,061.56/1,028.40
  6. Step 6: Final answer
    x = 502.78

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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.