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Finding the Fourth Proportional to 849.22, 1,171.33 and 550.60

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Solution

The fourth proportional to 849.22, 1,171.33 and 550.60 is: 759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.22 : 1,171.33 = 550.60 : x
  2. Step 2: Convert to fraction form
    849.22/1,171.33 = 550.60/x
  3. Step 3: Cross multiply
    849.22x = 1,171.33 × 550.60
  4. Step 4: Simplify right side
    849.22x = 644,929.99
  5. Step 5: Solve for x
    x = 644,929.99/849.22
  6. Step 6: Final answer
    x = 759.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.