Home / 1,028.09-1,542.14-258.59

Finding the Fourth Proportional to 1,028.09, 1,542.14 and 258.59

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Solution

The fourth proportional to 1,028.09, 1,542.14 and 258.59 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.09 : 1,542.14 = 258.59 : x
  2. Step 2: Convert to fraction form
    1,028.09/1,542.14 = 258.59/x
  3. Step 3: Cross multiply
    1,028.09x = 1,542.14 × 258.59
  4. Step 4: Simplify right side
    1,028.09x = 398,781.98
  5. Step 5: Solve for x
    x = 398,781.98/1,028.09
  6. Step 6: Final answer
    x = 387.89

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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.