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Finding the Fourth Proportional to 923.27, 1,273.73 and 550.16

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Solution

The fourth proportional to 923.27, 1,273.73 and 550.16 is: 758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.27 : 1,273.73 = 550.16 : x
  2. Step 2: Convert to fraction form
    923.27/1,273.73 = 550.16/x
  3. Step 3: Cross multiply
    923.27x = 1,273.73 × 550.16
  4. Step 4: Simplify right side
    923.27x = 700,750.95
  5. Step 5: Solve for x
    x = 700,750.95/923.27
  6. Step 6: Final answer
    x = 758.99

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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.