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Finding the Fourth Proportional to 800.72, 1,200.67 and 367.50

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Solution

The fourth proportional to 800.72, 1,200.67 and 367.50 is: 551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,200.67 = 367.50 : x
  2. Step 2: Convert to fraction form
    800.72/1,200.67 = 367.50/x
  3. Step 3: Cross multiply
    800.72x = 1,200.67 × 367.50
  4. Step 4: Simplify right side
    800.72x = 441,246.23
  5. Step 5: Solve for x
    x = 441,246.23/800.72
  6. Step 6: Final answer
    x = 551.06

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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.