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Finding the Fourth Proportional to 789.05, 1,183.74 and 302.24

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Solution

The fourth proportional to 789.05, 1,183.74 and 302.24 is: 453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 1,183.74 = 302.24 : x
  2. Step 2: Convert to fraction form
    789.05/1,183.74 = 302.24/x
  3. Step 3: Cross multiply
    789.05x = 1,183.74 × 302.24
  4. Step 4: Simplify right side
    789.05x = 357,766.53
  5. Step 5: Solve for x
    x = 357,766.53/789.05
  6. Step 6: Final answer
    x = 453.42

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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.