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Finding the Fourth Proportional to 811.44, 1,218.24 and 550.62

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Solution

The fourth proportional to 811.44, 1,218.24 and 550.62 is: 826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.44 : 1,218.24 = 550.62 : x
  2. Step 2: Convert to fraction form
    811.44/1,218.24 = 550.62/x
  3. Step 3: Cross multiply
    811.44x = 1,218.24 × 550.62
  4. Step 4: Simplify right side
    811.44x = 670,787.31
  5. Step 5: Solve for x
    x = 670,787.31/811.44
  6. Step 6: Final answer
    x = 826.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.