Home / 1,028.14-1,542.44-297.78

Finding the Fourth Proportional to 1,028.14, 1,542.44 and 297.78

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Solution

The fourth proportional to 1,028.14, 1,542.44 and 297.78 is: 446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.14 : 1,542.44 = 297.78 : x
  2. Step 2: Convert to fraction form
    1,028.14/1,542.44 = 297.78/x
  3. Step 3: Cross multiply
    1,028.14x = 1,542.44 × 297.78
  4. Step 4: Simplify right side
    1,028.14x = 459,302.74
  5. Step 5: Solve for x
    x = 459,302.74/1,028.14
  6. Step 6: Final answer
    x = 446.73

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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.