Home / 1,028.07-1,542.14-258.57

Finding the Fourth Proportional to 1,028.07, 1,542.14 and 258.57

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Solution

The fourth proportional to 1,028.07, 1,542.14 and 258.57 is: 387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.07 : 1,542.14 = 258.57 : x
  2. Step 2: Convert to fraction form
    1,028.07/1,542.14 = 258.57/x
  3. Step 3: Cross multiply
    1,028.07x = 1,542.14 × 258.57
  4. Step 4: Simplify right side
    1,028.07x = 398,749.85
  5. Step 5: Solve for x
    x = 398,749.85/1,028.07
  6. Step 6: Final answer
    x = 387.86

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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.