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Finding the Fourth Proportional to 843.99, 1,267.20 and 518.37

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Solution

The fourth proportional to 843.99, 1,267.20 and 518.37 is: 778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.99 : 1,267.20 = 518.37 : x
  2. Step 2: Convert to fraction form
    843.99/1,267.20 = 518.37/x
  3. Step 3: Cross multiply
    843.99x = 1,267.20 × 518.37
  4. Step 4: Simplify right side
    843.99x = 656,878.46
  5. Step 5: Solve for x
    x = 656,878.46/843.99
  6. Step 6: Final answer
    x = 778.30

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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.