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Finding the Fourth Proportional to 1,372.97, 2,059.43 and 643.37

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Solution

The fourth proportional to 1,372.97, 2,059.43 and 643.37 is: 965.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.97 : 2,059.43 = 643.37 : x
  2. Step 2: Convert to fraction form
    1,372.97/2,059.43 = 643.37/x
  3. Step 3: Cross multiply
    1,372.97x = 2,059.43 × 643.37
  4. Step 4: Simplify right side
    1,372.97x = 1,324,961.97
  5. Step 5: Solve for x
    x = 1,324,961.97/1,372.97
  6. Step 6: Final answer
    x = 965.03

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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.