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Finding the Fourth Proportional to 849.82, 1,171.86 and 629.20

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Solution

The fourth proportional to 849.82, 1,171.86 and 629.20 is: 867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.82 : 1,171.86 = 629.20 : x
  2. Step 2: Convert to fraction form
    849.82/1,171.86 = 629.20/x
  3. Step 3: Cross multiply
    849.82x = 1,171.86 × 629.20
  4. Step 4: Simplify right side
    849.82x = 737,334.31
  5. Step 5: Solve for x
    x = 737,334.31/849.82
  6. Step 6: Final answer
    x = 867.64

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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.