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Finding the Fourth Proportional to 789.19, 1,183.80 and 212.06

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Solution

The fourth proportional to 789.19, 1,183.80 and 212.06 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.19 : 1,183.80 = 212.06 : x
  2. Step 2: Convert to fraction form
    789.19/1,183.80 = 212.06/x
  3. Step 3: Cross multiply
    789.19x = 1,183.80 × 212.06
  4. Step 4: Simplify right side
    789.19x = 251,040.38
  5. Step 5: Solve for x
    x = 251,040.38/789.19
  6. Step 6: Final answer
    x = 318.10

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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.