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Finding the Fourth Proportional to 2,655.23, 3,983.40 and 806.54

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Solution

The fourth proportional to 2,655.23, 3,983.40 and 806.54 is: 1,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.23 : 3,983.40 = 806.54 : x
  2. Step 2: Convert to fraction form
    2,655.23/3,983.40 = 806.54/x
  3. Step 3: Cross multiply
    2,655.23x = 3,983.40 × 806.54
  4. Step 4: Simplify right side
    2,655.23x = 3,212,751.52
  5. Step 5: Solve for x
    x = 3,212,751.52/2,655.23
  6. Step 6: Final answer
    x = 1,209.97

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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.