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Finding the Fourth Proportional to 936.40, 1,289.16 and 923.60

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Solution

The fourth proportional to 936.40, 1,289.16 and 923.60 is: 1,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.40 : 1,289.16 = 923.60 : x
  2. Step 2: Convert to fraction form
    936.40/1,289.16 = 923.60/x
  3. Step 3: Cross multiply
    936.40x = 1,289.16 × 923.60
  4. Step 4: Simplify right side
    936.40x = 1,190,668.18
  5. Step 5: Solve for x
    x = 1,190,668.18/936.40
  6. Step 6: Final answer
    x = 1,271.54

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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.