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Finding the Fourth Proportional to 817.82, 1,226.78 and 269.78

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Solution

The fourth proportional to 817.82, 1,226.78 and 269.78 is: 404.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.82 : 1,226.78 = 269.78 : x
  2. Step 2: Convert to fraction form
    817.82/1,226.78 = 269.78/x
  3. Step 3: Cross multiply
    817.82x = 1,226.78 × 269.78
  4. Step 4: Simplify right side
    817.82x = 330,960.71
  5. Step 5: Solve for x
    x = 330,960.71/817.82
  6. Step 6: Final answer
    x = 404.69

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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.