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Finding the Fourth Proportional to 2,005.42, 3,008.15 and 544.59

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Solution

The fourth proportional to 2,005.42, 3,008.15 and 544.59 is: 816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.42 : 3,008.15 = 544.59 : x
  2. Step 2: Convert to fraction form
    2,005.42/3,008.15 = 544.59/x
  3. Step 3: Cross multiply
    2,005.42x = 3,008.15 × 544.59
  4. Step 4: Simplify right side
    2,005.42x = 1,638,208.41
  5. Step 5: Solve for x
    x = 1,638,208.41/2,005.42
  6. Step 6: Final answer
    x = 816.89

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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.