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Finding the Fourth Proportional to 849.14, 1,171.15 and 613.97

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Solution

The fourth proportional to 849.14, 1,171.15 and 613.97 is: 846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.14 : 1,171.15 = 613.97 : x
  2. Step 2: Convert to fraction form
    849.14/1,171.15 = 613.97/x
  3. Step 3: Cross multiply
    849.14x = 1,171.15 × 613.97
  4. Step 4: Simplify right side
    849.14x = 719,043.57
  5. Step 5: Solve for x
    x = 719,043.57/849.14
  6. Step 6: Final answer
    x = 846.80

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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.