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Finding the Fourth Proportional to 800.72, 1,200.46 and 367.36

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Solution

The fourth proportional to 800.72, 1,200.46 and 367.36 is: 550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,200.46 = 367.36 : x
  2. Step 2: Convert to fraction form
    800.72/1,200.46 = 367.36/x
  3. Step 3: Cross multiply
    800.72x = 1,200.46 × 367.36
  4. Step 4: Simplify right side
    800.72x = 441,000.99
  5. Step 5: Solve for x
    x = 441,000.99/800.72
  6. Step 6: Final answer
    x = 550.76

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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.