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Finding the Fourth Proportional to 902.17, 1,349.82 and 550.87

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Solution

The fourth proportional to 902.17, 1,349.82 and 550.87 is: 824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.17 : 1,349.82 = 550.87 : x
  2. Step 2: Convert to fraction form
    902.17/1,349.82 = 550.87/x
  3. Step 3: Cross multiply
    902.17x = 1,349.82 × 550.87
  4. Step 4: Simplify right side
    902.17x = 743,571.97
  5. Step 5: Solve for x
    x = 743,571.97/902.17
  6. Step 6: Final answer
    x = 824.21

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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.