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Finding the Fourth Proportional to 936.24, 1,289.40 and 863.28

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Solution

The fourth proportional to 936.24, 1,289.40 and 863.28 is: 1,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.24 : 1,289.40 = 863.28 : x
  2. Step 2: Convert to fraction form
    936.24/1,289.40 = 863.28/x
  3. Step 3: Cross multiply
    936.24x = 1,289.40 × 863.28
  4. Step 4: Simplify right side
    936.24x = 1,113,113.23
  5. Step 5: Solve for x
    x = 1,113,113.23/936.24
  6. Step 6: Final answer
    x = 1,188.92

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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.