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Finding the Fourth Proportional to 1,028.82, 1,543.22 and 443.77

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Solution

The fourth proportional to 1,028.82, 1,543.22 and 443.77 is: 665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.82 : 1,543.22 = 443.77 : x
  2. Step 2: Convert to fraction form
    1,028.82/1,543.22 = 443.77/x
  3. Step 3: Cross multiply
    1,028.82x = 1,543.22 × 443.77
  4. Step 4: Simplify right side
    1,028.82x = 684,834.74
  5. Step 5: Solve for x
    x = 684,834.74/1,028.82
  6. Step 6: Final answer
    x = 665.65

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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.