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Finding the Fourth Proportional to 1,813.82, 2,721.94 and 659.57

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Solution

The fourth proportional to 1,813.82, 2,721.94 and 659.57 is: 989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.82 : 2,721.94 = 659.57 : x
  2. Step 2: Convert to fraction form
    1,813.82/2,721.94 = 659.57/x
  3. Step 3: Cross multiply
    1,813.82x = 2,721.94 × 659.57
  4. Step 4: Simplify right side
    1,813.82x = 1,795,304.22
  5. Step 5: Solve for x
    x = 1,795,304.22/1,813.82
  6. Step 6: Final answer
    x = 989.79

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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.