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Finding the Fourth Proportional to 1,456.76, 2,183.72 and 806.13

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Solution

The fourth proportional to 1,456.76, 2,183.72 and 806.13 is: 1,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.76 : 2,183.72 = 806.13 : x
  2. Step 2: Convert to fraction form
    1,456.76/2,183.72 = 806.13/x
  3. Step 3: Cross multiply
    1,456.76x = 2,183.72 × 806.13
  4. Step 4: Simplify right side
    1,456.76x = 1,760,362.20
  5. Step 5: Solve for x
    x = 1,760,362.20/1,456.76
  6. Step 6: Final answer
    x = 1,208.41

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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.