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Finding the Fourth Proportional to 2,005.83, 3,008.95 and 545.09

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Solution

The fourth proportional to 2,005.83, 3,008.95 and 545.09 is: 817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.83 : 3,008.95 = 545.09 : x
  2. Step 2: Convert to fraction form
    2,005.83/3,008.95 = 545.09/x
  3. Step 3: Cross multiply
    2,005.83x = 3,008.95 × 545.09
  4. Step 4: Simplify right side
    2,005.83x = 1,640,132.15
  5. Step 5: Solve for x
    x = 1,640,132.15/2,005.83
  6. Step 6: Final answer
    x = 817.68

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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.