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Finding the Fourth Proportional to 844.48, 1,163.99 and 564.61

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Solution

The fourth proportional to 844.48, 1,163.99 and 564.61 is: 778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.48 : 1,163.99 = 564.61 : x
  2. Step 2: Convert to fraction form
    844.48/1,163.99 = 564.61/x
  3. Step 3: Cross multiply
    844.48x = 1,163.99 × 564.61
  4. Step 4: Simplify right side
    844.48x = 657,199.03
  5. Step 5: Solve for x
    x = 657,199.03/844.48
  6. Step 6: Final answer
    x = 778.23

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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.