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Finding the Fourth Proportional to 936.96, 1,289.36 and 864

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Solution

The fourth proportional to 936.96, 1,289.36 and 864 is: 1,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.96 : 1,289.36 = 864 : x
  2. Step 2: Convert to fraction form
    936.96/1,289.36 = 864/x
  3. Step 3: Cross multiply
    936.96x = 1,289.36 × 864
  4. Step 4: Simplify right side
    936.96x = 1,114,007.04
  5. Step 5: Solve for x
    x = 1,114,007.04/936.96
  6. Step 6: Final answer
    x = 1,188.96

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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.