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Finding the Fourth Proportional to 849.26, 1,174.20 and 836.84

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Solution

The fourth proportional to 849.26, 1,174.20 and 836.84 is: 1,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.26 : 1,174.20 = 836.84 : x
  2. Step 2: Convert to fraction form
    849.26/1,174.20 = 836.84/x
  3. Step 3: Cross multiply
    849.26x = 1,174.20 × 836.84
  4. Step 4: Simplify right side
    849.26x = 982,617.53
  5. Step 5: Solve for x
    x = 982,617.53/849.26
  6. Step 6: Final answer
    x = 1,157.03

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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.