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Finding the Fourth Proportional to 2,005.62, 3,008.42 and 544.77

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Solution

The fourth proportional to 2,005.62, 3,008.42 and 544.77 is: 817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.62 : 3,008.42 = 544.77 : x
  2. Step 2: Convert to fraction form
    2,005.62/3,008.42 = 544.77/x
  3. Step 3: Cross multiply
    2,005.62x = 3,008.42 × 544.77
  4. Step 4: Simplify right side
    2,005.62x = 1,638,898.33
  5. Step 5: Solve for x
    x = 1,638,898.33/2,005.62
  6. Step 6: Final answer
    x = 817.15

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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.