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Finding the Fourth Proportional to 1,183.20, 1,632.88 and 686

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Solution

The fourth proportional to 1,183.20, 1,632.88 and 686 is: 946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.20 : 1,632.88 = 686 : x
  2. Step 2: Convert to fraction form
    1,183.20/1,632.88 = 686/x
  3. Step 3: Cross multiply
    1,183.20x = 1,632.88 × 686
  4. Step 4: Simplify right side
    1,183.20x = 1,120,155.68
  5. Step 5: Solve for x
    x = 1,120,155.68/1,183.20
  6. Step 6: Final answer
    x = 946.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.