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Finding the Fourth Proportional to 843.26, 1,165.91 and 830.84

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Solution

The fourth proportional to 843.26, 1,165.91 and 830.84 is: 1,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.26 : 1,165.91 = 830.84 : x
  2. Step 2: Convert to fraction form
    843.26/1,165.91 = 830.84/x
  3. Step 3: Cross multiply
    843.26x = 1,165.91 × 830.84
  4. Step 4: Simplify right side
    843.26x = 968,674.68
  5. Step 5: Solve for x
    x = 968,674.68/843.26
  6. Step 6: Final answer
    x = 1,148.73

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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.