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Finding the Fourth Proportional to 1,338.85, 2,006.66 and 817.21

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Solution

The fourth proportional to 1,338.85, 2,006.66 and 817.21 is: 1,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.85 : 2,006.66 = 817.21 : x
  2. Step 2: Convert to fraction form
    1,338.85/2,006.66 = 817.21/x
  3. Step 3: Cross multiply
    1,338.85x = 2,006.66 × 817.21
  4. Step 4: Simplify right side
    1,338.85x = 1,639,858.53
  5. Step 5: Solve for x
    x = 1,639,858.53/1,338.85
  6. Step 6: Final answer
    x = 1,224.83

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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.