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Finding the Fourth Proportional to 1,589.26, 2,383 and 548.68

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Solution

The fourth proportional to 1,589.26, 2,383 and 548.68 is: 822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.26 : 2,383 = 548.68 : x
  2. Step 2: Convert to fraction form
    1,589.26/2,383 = 548.68/x
  3. Step 3: Cross multiply
    1,589.26x = 2,383 × 548.68
  4. Step 4: Simplify right side
    1,589.26x = 1,307,504.44
  5. Step 5: Solve for x
    x = 1,307,504.44/1,589.26
  6. Step 6: Final answer
    x = 822.71

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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.