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Finding the Fourth Proportional to 843.37, 1,264.63 and 380.82

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Solution

The fourth proportional to 843.37, 1,264.63 and 380.82 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.37 : 1,264.63 = 380.82 : x
  2. Step 2: Convert to fraction form
    843.37/1,264.63 = 380.82/x
  3. Step 3: Cross multiply
    843.37x = 1,264.63 × 380.82
  4. Step 4: Simplify right side
    843.37x = 481,596.40
  5. Step 5: Solve for x
    x = 481,596.40/843.37
  6. Step 6: Final answer
    x = 571.04

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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.