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Finding the Fourth Proportional to 1,183.76, 1,631.37 and 851.61

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Solution

The fourth proportional to 1,183.76, 1,631.37 and 851.61 is: 1,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.76 : 1,631.37 = 851.61 : x
  2. Step 2: Convert to fraction form
    1,183.76/1,631.37 = 851.61/x
  3. Step 3: Cross multiply
    1,183.76x = 1,631.37 × 851.61
  4. Step 4: Simplify right side
    1,183.76x = 1,389,291.01
  5. Step 5: Solve for x
    x = 1,389,291.01/1,183.76
  6. Step 6: Final answer
    x = 1,173.63

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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.