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Finding the Fourth Proportional to 789.43, 1,183.79 and 424.12

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Solution

The fourth proportional to 789.43, 1,183.79 and 424.12 is: 635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.43 : 1,183.79 = 424.12 : x
  2. Step 2: Convert to fraction form
    789.43/1,183.79 = 424.12/x
  3. Step 3: Cross multiply
    789.43x = 1,183.79 × 424.12
  4. Step 4: Simplify right side
    789.43x = 502,066.89
  5. Step 5: Solve for x
    x = 502,066.89/789.43
  6. Step 6: Final answer
    x = 635.99

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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.