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Finding the Fourth Proportional to 2,655.67, 3,983.72 and 806.95

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Solution

The fourth proportional to 2,655.67, 3,983.72 and 806.95 is: 1,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.67 : 3,983.72 = 806.95 : x
  2. Step 2: Convert to fraction form
    2,655.67/3,983.72 = 806.95/x
  3. Step 3: Cross multiply
    2,655.67x = 3,983.72 × 806.95
  4. Step 4: Simplify right side
    2,655.67x = 3,214,641.39
  5. Step 5: Solve for x
    x = 3,214,641.39/2,655.67
  6. Step 6: Final answer
    x = 1,210.48

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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.