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Finding the Fourth Proportional to 2,005.75, 3,008.27 and 544.56

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Solution

The fourth proportional to 2,005.75, 3,008.27 and 544.56 is: 816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.75 : 3,008.27 = 544.56 : x
  2. Step 2: Convert to fraction form
    2,005.75/3,008.27 = 544.56/x
  3. Step 3: Cross multiply
    2,005.75x = 3,008.27 × 544.56
  4. Step 4: Simplify right side
    2,005.75x = 1,638,183.51
  5. Step 5: Solve for x
    x = 1,638,183.51/2,005.75
  6. Step 6: Final answer
    x = 816.74

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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.