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Finding the Fourth Proportional to 2,655.78, 3,984.54 and 806.96

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Solution

The fourth proportional to 2,655.78, 3,984.54 and 806.96 is: 1,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.78 : 3,984.54 = 806.96 : x
  2. Step 2: Convert to fraction form
    2,655.78/3,984.54 = 806.96/x
  3. Step 3: Cross multiply
    2,655.78x = 3,984.54 × 806.96
  4. Step 4: Simplify right side
    2,655.78x = 3,215,364.40
  5. Step 5: Solve for x
    x = 3,215,364.40/2,655.78
  6. Step 6: Final answer
    x = 1,210.70

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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.