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Finding the Fourth Proportional to 1,281.73, 1,768.26 and 809.44

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Solution

The fourth proportional to 1,281.73, 1,768.26 and 809.44 is: 1,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.73 : 1,768.26 = 809.44 : x
  2. Step 2: Convert to fraction form
    1,281.73/1,768.26 = 809.44/x
  3. Step 3: Cross multiply
    1,281.73x = 1,768.26 × 809.44
  4. Step 4: Simplify right side
    1,281.73x = 1,431,300.37
  5. Step 5: Solve for x
    x = 1,431,300.37/1,281.73
  6. Step 6: Final answer
    x = 1,116.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.