Home / 1,028.21-1,542.28-451.09

Finding the Fourth Proportional to 1,028.21, 1,542.28 and 451.09

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Solution

The fourth proportional to 1,028.21, 1,542.28 and 451.09 is: 676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.21 : 1,542.28 = 451.09 : x
  2. Step 2: Convert to fraction form
    1,028.21/1,542.28 = 451.09/x
  3. Step 3: Cross multiply
    1,028.21x = 1,542.28 × 451.09
  4. Step 4: Simplify right side
    1,028.21x = 695,707.09
  5. Step 5: Solve for x
    x = 695,707.09/1,028.21
  6. Step 6: Final answer
    x = 676.62

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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.