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Finding the Fourth Proportional to 788.96, 1,183.61 and 399.02

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Solution

The fourth proportional to 788.96, 1,183.61 and 399.02 is: 598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.96 : 1,183.61 = 399.02 : x
  2. Step 2: Convert to fraction form
    788.96/1,183.61 = 399.02/x
  3. Step 3: Cross multiply
    788.96x = 1,183.61 × 399.02
  4. Step 4: Simplify right side
    788.96x = 472,279.14
  5. Step 5: Solve for x
    x = 472,279.14/788.96
  6. Step 6: Final answer
    x = 598.61

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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.