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Finding the Fourth Proportional to 769.36, 1,152.36 and 622.48

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Solution

The fourth proportional to 769.36, 1,152.36 and 622.48 is: 932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.36 : 1,152.36 = 622.48 : x
  2. Step 2: Convert to fraction form
    769.36/1,152.36 = 622.48/x
  3. Step 3: Cross multiply
    769.36x = 1,152.36 × 622.48
  4. Step 4: Simplify right side
    769.36x = 717,321.05
  5. Step 5: Solve for x
    x = 717,321.05/769.36
  6. Step 6: Final answer
    x = 932.36

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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.