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Finding the Fourth Proportional to 843.15, 1,265.86 and 566.43

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Solution

The fourth proportional to 843.15, 1,265.86 and 566.43 is: 850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.15 : 1,265.86 = 566.43 : x
  2. Step 2: Convert to fraction form
    843.15/1,265.86 = 566.43/x
  3. Step 3: Cross multiply
    843.15x = 1,265.86 × 566.43
  4. Step 4: Simplify right side
    843.15x = 717,021.08
  5. Step 5: Solve for x
    x = 717,021.08/843.15
  6. Step 6: Final answer
    x = 850.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.