Home / 1,028.26-1,542.36-664.96

Finding the Fourth Proportional to 1,028.26, 1,542.36 and 664.96

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Solution

The fourth proportional to 1,028.26, 1,542.36 and 664.96 is: 997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.26 : 1,542.36 = 664.96 : x
  2. Step 2: Convert to fraction form
    1,028.26/1,542.36 = 664.96/x
  3. Step 3: Cross multiply
    1,028.26x = 1,542.36 × 664.96
  4. Step 4: Simplify right side
    1,028.26x = 1,025,607.71
  5. Step 5: Solve for x
    x = 1,025,607.71/1,028.26
  6. Step 6: Final answer
    x = 997.42

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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.