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Finding the Fourth Proportional to 1,209.73, 1,813.24 and 843.41

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Solution

The fourth proportional to 1,209.73, 1,813.24 and 843.41 is: 1,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.73 : 1,813.24 = 843.41 : x
  2. Step 2: Convert to fraction form
    1,209.73/1,813.24 = 843.41/x
  3. Step 3: Cross multiply
    1,209.73x = 1,813.24 × 843.41
  4. Step 4: Simplify right side
    1,209.73x = 1,529,304.75
  5. Step 5: Solve for x
    x = 1,529,304.75/1,209.73
  6. Step 6: Final answer
    x = 1,264.17

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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.