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Finding the Fourth Proportional to 1,432.91, 1,977.35 and 843.41

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Solution

The fourth proportional to 1,432.91, 1,977.35 and 843.41 is: 1,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.91 : 1,977.35 = 843.41 : x
  2. Step 2: Convert to fraction form
    1,432.91/1,977.35 = 843.41/x
  3. Step 3: Cross multiply
    1,432.91x = 1,977.35 × 843.41
  4. Step 4: Simplify right side
    1,432.91x = 1,667,702.66
  5. Step 5: Solve for x
    x = 1,667,702.66/1,432.91
  6. Step 6: Final answer
    x = 1,163.86

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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.