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Finding the Fourth Proportional to 789.36, 1,183.89 and 302.38

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Solution

The fourth proportional to 789.36, 1,183.89 and 302.38 is: 453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.36 : 1,183.89 = 302.38 : x
  2. Step 2: Convert to fraction form
    789.36/1,183.89 = 302.38/x
  3. Step 3: Cross multiply
    789.36x = 1,183.89 × 302.38
  4. Step 4: Simplify right side
    789.36x = 357,984.66
  5. Step 5: Solve for x
    x = 357,984.66/789.36
  6. Step 6: Final answer
    x = 453.51

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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.