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Finding the Fourth Proportional to 789.87, 1,184.81 and 212.75

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Solution

The fourth proportional to 789.87, 1,184.81 and 212.75 is: 319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.87 : 1,184.81 = 212.75 : x
  2. Step 2: Convert to fraction form
    789.87/1,184.81 = 212.75/x
  3. Step 3: Cross multiply
    789.87x = 1,184.81 × 212.75
  4. Step 4: Simplify right side
    789.87x = 252,061.34
  5. Step 5: Solve for x
    x = 252,061.34/789.87
  6. Step 6: Final answer
    x = 319.12

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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.