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Finding the Fourth Proportional to 843.26, 1,263.76 and 380.95

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Solution

The fourth proportional to 843.26, 1,263.76 and 380.95 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.26 : 1,263.76 = 380.95 : x
  2. Step 2: Convert to fraction form
    843.26/1,263.76 = 380.95/x
  3. Step 3: Cross multiply
    843.26x = 1,263.76 × 380.95
  4. Step 4: Simplify right side
    843.26x = 481,425.26
  5. Step 5: Solve for x
    x = 481,425.26/843.26
  6. Step 6: Final answer
    x = 570.91

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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.