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Finding the Fourth Proportional to 844.24, 1,163.64 and 770.80

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Solution

The fourth proportional to 844.24, 1,163.64 and 770.80 is: 1,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.24 : 1,163.64 = 770.80 : x
  2. Step 2: Convert to fraction form
    844.24/1,163.64 = 770.80/x
  3. Step 3: Cross multiply
    844.24x = 1,163.64 × 770.80
  4. Step 4: Simplify right side
    844.24x = 896,933.71
  5. Step 5: Solve for x
    x = 896,933.71/844.24
  6. Step 6: Final answer
    x = 1,062.42

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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.