Home / 1,028.24-1,542.36-297.82

Finding the Fourth Proportional to 1,028.24, 1,542.36 and 297.82

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Solution

The fourth proportional to 1,028.24, 1,542.36 and 297.82 is: 446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.24 : 1,542.36 = 297.82 : x
  2. Step 2: Convert to fraction form
    1,028.24/1,542.36 = 297.82/x
  3. Step 3: Cross multiply
    1,028.24x = 1,542.36 × 297.82
  4. Step 4: Simplify right side
    1,028.24x = 459,341.80
  5. Step 5: Solve for x
    x = 459,341.80/1,028.24
  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.