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Finding the Fourth Proportional to 812.57, 1,121.67 and 550.73

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Solution

The fourth proportional to 812.57, 1,121.67 and 550.73 is: 760.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.57 : 1,121.67 = 550.73 : x
  2. Step 2: Convert to fraction form
    812.57/1,121.67 = 550.73/x
  3. Step 3: Cross multiply
    812.57x = 1,121.67 × 550.73
  4. Step 4: Simplify right side
    812.57x = 617,740.12
  5. Step 5: Solve for x
    x = 617,740.12/812.57
  6. Step 6: Final answer
    x = 760.23

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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.