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Finding the Fourth Proportional to 2,649.76, 3,975.05 and 800.64

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Solution

The fourth proportional to 2,649.76, 3,975.05 and 800.64 is: 1,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.76 : 3,975.05 = 800.64 : x
  2. Step 2: Convert to fraction form
    2,649.76/3,975.05 = 800.64/x
  3. Step 3: Cross multiply
    2,649.76x = 3,975.05 × 800.64
  4. Step 4: Simplify right side
    2,649.76x = 3,182,584.03
  5. Step 5: Solve for x
    x = 3,182,584.03/2,649.76
  6. Step 6: Final answer
    x = 1,201.09

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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.