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Finding the Fourth Proportional to 1,432.49, 1,977.23 and 843.22

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Solution

The fourth proportional to 1,432.49, 1,977.23 and 843.22 is: 1,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.49 : 1,977.23 = 843.22 : x
  2. Step 2: Convert to fraction form
    1,432.49/1,977.23 = 843.22/x
  3. Step 3: Cross multiply
    1,432.49x = 1,977.23 × 843.22
  4. Step 4: Simplify right side
    1,432.49x = 1,667,237.05
  5. Step 5: Solve for x
    x = 1,667,237.05/1,432.49
  6. Step 6: Final answer
    x = 1,163.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.