Home / 1,028.19-1,540.97-442.52

Finding the Fourth Proportional to 1,028.19, 1,540.97 and 442.52

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Solution

The fourth proportional to 1,028.19, 1,540.97 and 442.52 is: 663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.19 : 1,540.97 = 442.52 : x
  2. Step 2: Convert to fraction form
    1,028.19/1,540.97 = 442.52/x
  3. Step 3: Cross multiply
    1,028.19x = 1,540.97 × 442.52
  4. Step 4: Simplify right side
    1,028.19x = 681,900.13
  5. Step 5: Solve for x
    x = 681,900.13/1,028.19
  6. Step 6: Final answer
    x = 663.20

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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.