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Finding the Fourth Proportional to 799.22, 1,200.04 and 512.48

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Solution

The fourth proportional to 799.22, 1,200.04 and 512.48 is: 769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.22 : 1,200.04 = 512.48 : x
  2. Step 2: Convert to fraction form
    799.22/1,200.04 = 512.48/x
  3. Step 3: Cross multiply
    799.22x = 1,200.04 × 512.48
  4. Step 4: Simplify right side
    799.22x = 614,996.50
  5. Step 5: Solve for x
    x = 614,996.50/799.22
  6. Step 6: Final answer
    x = 769.50

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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.