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Finding the Fourth Proportional to 843.50, 1,163.08 and 577.86

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Solution

The fourth proportional to 843.50, 1,163.08 and 577.86 is: 796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.50 : 1,163.08 = 577.86 : x
  2. Step 2: Convert to fraction form
    843.50/1,163.08 = 577.86/x
  3. Step 3: Cross multiply
    843.50x = 1,163.08 × 577.86
  4. Step 4: Simplify right side
    843.50x = 672,097.41
  5. Step 5: Solve for x
    x = 672,097.41/843.50
  6. Step 6: Final answer
    x = 796.80

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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.