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Finding the Fourth Proportional to 844.88, 1,165.93 and 550.64

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Solution

The fourth proportional to 844.88, 1,165.93 and 550.64 is: 759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.88 : 1,165.93 = 550.64 : x
  2. Step 2: Convert to fraction form
    844.88/1,165.93 = 550.64/x
  3. Step 3: Cross multiply
    844.88x = 1,165.93 × 550.64
  4. Step 4: Simplify right side
    844.88x = 642,009.23
  5. Step 5: Solve for x
    x = 642,009.23/844.88
  6. Step 6: Final answer
    x = 759.89

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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.