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Finding the Fourth Proportional to 849.66, 1,170.12 and 662.82

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Solution

The fourth proportional to 849.66, 1,170.12 and 662.82 is: 912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,170.12 = 662.82 : x
  2. Step 2: Convert to fraction form
    849.66/1,170.12 = 662.82/x
  3. Step 3: Cross multiply
    849.66x = 1,170.12 × 662.82
  4. Step 4: Simplify right side
    849.66x = 775,578.94
  5. Step 5: Solve for x
    x = 775,578.94/849.66
  6. Step 6: Final answer
    x = 912.81

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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.