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Finding the Fourth Proportional to 843.98, 1,266.37 and 382.10

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Solution

The fourth proportional to 843.98, 1,266.37 and 382.10 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.98 : 1,266.37 = 382.10 : x
  2. Step 2: Convert to fraction form
    843.98/1,266.37 = 382.10/x
  3. Step 3: Cross multiply
    843.98x = 1,266.37 × 382.10
  4. Step 4: Simplify right side
    843.98x = 483,872.69
  5. Step 5: Solve for x
    x = 483,872.69/843.98
  6. Step 6: Final answer
    x = 573.33

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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.