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Finding the Fourth Proportional to 923.20, 1,383.20 and 865.60

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Solution

The fourth proportional to 923.20, 1,383.20 and 865.60 is: 1,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.20 : 1,383.20 = 865.60 : x
  2. Step 2: Convert to fraction form
    923.20/1,383.20 = 865.60/x
  3. Step 3: Cross multiply
    923.20x = 1,383.20 × 865.60
  4. Step 4: Simplify right side
    923.20x = 1,197,297.92
  5. Step 5: Solve for x
    x = 1,197,297.92/923.20
  6. Step 6: Final answer
    x = 1,296.90

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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.