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Finding the Fourth Proportional to 844.23, 1,263.90 and 518.61

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Solution

The fourth proportional to 844.23, 1,263.90 and 518.61 is: 776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.23 : 1,263.90 = 518.61 : x
  2. Step 2: Convert to fraction form
    844.23/1,263.90 = 518.61/x
  3. Step 3: Cross multiply
    844.23x = 1,263.90 × 518.61
  4. Step 4: Simplify right side
    844.23x = 655,471.18
  5. Step 5: Solve for x
    x = 655,471.18/844.23
  6. Step 6: Final answer
    x = 776.41

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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.