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Finding the Fourth Proportional to 2,555.79, 3,833.69 and 800.81

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Solution

The fourth proportional to 2,555.79, 3,833.69 and 800.81 is: 1,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.79 : 3,833.69 = 800.81 : x
  2. Step 2: Convert to fraction form
    2,555.79/3,833.69 = 800.81/x
  3. Step 3: Cross multiply
    2,555.79x = 3,833.69 × 800.81
  4. Step 4: Simplify right side
    2,555.79x = 3,070,057.29
  5. Step 5: Solve for x
    x = 3,070,057.29/2,555.79
  6. Step 6: Final answer
    x = 1,201.22

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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.