Home / 1,028.06-1,541.97-258.50

Finding the Fourth Proportional to 1,028.06, 1,541.97 and 258.50

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Solution

The fourth proportional to 1,028.06, 1,541.97 and 258.50 is: 387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,541.97 = 258.50 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,541.97 = 258.50/x
  3. Step 3: Cross multiply
    1,028.06x = 1,541.97 × 258.50
  4. Step 4: Simplify right side
    1,028.06x = 398,599.25
  5. Step 5: Solve for x
    x = 398,599.25/1,028.06
  6. Step 6: Final answer
    x = 387.72

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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.