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Finding the Fourth Proportional to 789.60, 1,183.68 and 399.08

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Solution

The fourth proportional to 789.60, 1,183.68 and 399.08 is: 598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.60 : 1,183.68 = 399.08 : x
  2. Step 2: Convert to fraction form
    789.60/1,183.68 = 399.08/x
  3. Step 3: Cross multiply
    789.60x = 1,183.68 × 399.08
  4. Step 4: Simplify right side
    789.60x = 472,383.01
  5. Step 5: Solve for x
    x = 472,383.01/789.60
  6. Step 6: Final answer
    x = 598.26

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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.