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Finding the Fourth Proportional to 1,028.80, 1,542.79 and 443.80

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Solution

The fourth proportional to 1,028.80, 1,542.79 and 443.80 is: 665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.80 : 1,542.79 = 443.80 : x
  2. Step 2: Convert to fraction form
    1,028.80/1,542.79 = 443.80/x
  3. Step 3: Cross multiply
    1,028.80x = 1,542.79 × 443.80
  4. Step 4: Simplify right side
    1,028.80x = 684,690.20
  5. Step 5: Solve for x
    x = 684,690.20/1,028.80
  6. Step 6: Final answer
    x = 665.52

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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.