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Finding the Fourth Proportional to 817.11, 1,226.19 and 427.56

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Solution

The fourth proportional to 817.11, 1,226.19 and 427.56 is: 641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.11 : 1,226.19 = 427.56 : x
  2. Step 2: Convert to fraction form
    817.11/1,226.19 = 427.56/x
  3. Step 3: Cross multiply
    817.11x = 1,226.19 × 427.56
  4. Step 4: Simplify right side
    817.11x = 524,269.80
  5. Step 5: Solve for x
    x = 524,269.80/817.11
  6. Step 6: Final answer
    x = 641.61

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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.