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Finding the Fourth Proportional to 2,006.29, 3,009.44 and 545.44

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Solution

The fourth proportional to 2,006.29, 3,009.44 and 545.44 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.29 : 3,009.44 = 545.44 : x
  2. Step 2: Convert to fraction form
    2,006.29/3,009.44 = 545.44/x
  3. Step 3: Cross multiply
    2,006.29x = 3,009.44 × 545.44
  4. Step 4: Simplify right side
    2,006.29x = 1,641,465.37
  5. Step 5: Solve for x
    x = 1,641,465.37/2,006.29
  6. Step 6: Final answer
    x = 818.16

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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.