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Finding the Fourth Proportional to 1,432.49, 1,976.81 and 843.08

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Solution

The fourth proportional to 1,432.49, 1,976.81 and 843.08 is: 1,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.49 : 1,976.81 = 843.08 : x
  2. Step 2: Convert to fraction form
    1,432.49/1,976.81 = 843.08/x
  3. Step 3: Cross multiply
    1,432.49x = 1,976.81 × 843.08
  4. Step 4: Simplify right side
    1,432.49x = 1,666,594.88
  5. Step 5: Solve for x
    x = 1,666,594.88/1,432.49
  6. Step 6: Final answer
    x = 1,163.43

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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.