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Finding the Fourth Proportional to 844.83, 1,272.38 and 743.45

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Solution

The fourth proportional to 844.83, 1,272.38 and 743.45 is: 1,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.83 : 1,272.38 = 743.45 : x
  2. Step 2: Convert to fraction form
    844.83/1,272.38 = 743.45/x
  3. Step 3: Cross multiply
    844.83x = 1,272.38 × 743.45
  4. Step 4: Simplify right side
    844.83x = 945,940.83
  5. Step 5: Solve for x
    x = 945,940.83/844.83
  6. Step 6: Final answer
    x = 1,119.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.