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Finding the Fourth Proportional to 844.25, 1,165.25 and 533.93

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Solution

The fourth proportional to 844.25, 1,165.25 and 533.93 is: 736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.25 : 1,165.25 = 533.93 : x
  2. Step 2: Convert to fraction form
    844.25/1,165.25 = 533.93/x
  3. Step 3: Cross multiply
    844.25x = 1,165.25 × 533.93
  4. Step 4: Simplify right side
    844.25x = 622,161.93
  5. Step 5: Solve for x
    x = 622,161.93/844.25
  6. Step 6: Final answer
    x = 736.94

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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.