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Finding the Fourth Proportional to 923.25, 1,383.10 and 727.22

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Solution

The fourth proportional to 923.25, 1,383.10 and 727.22 is: 1,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.25 : 1,383.10 = 727.22 : x
  2. Step 2: Convert to fraction form
    923.25/1,383.10 = 727.22/x
  3. Step 3: Cross multiply
    923.25x = 1,383.10 × 727.22
  4. Step 4: Simplify right side
    923.25x = 1,005,811.07
  5. Step 5: Solve for x
    x = 1,005,811.07/923.25
  6. Step 6: Final answer
    x = 1,089.42

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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.