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Finding the Fourth Proportional to 2,005.99, 3,008.99 and 545.14

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Solution

The fourth proportional to 2,005.99, 3,008.99 and 545.14 is: 817.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.99 : 3,008.99 = 545.14 : x
  2. Step 2: Convert to fraction form
    2,005.99/3,008.99 = 545.14/x
  3. Step 3: Cross multiply
    2,005.99x = 3,008.99 × 545.14
  4. Step 4: Simplify right side
    2,005.99x = 1,640,325.93
  5. Step 5: Solve for x
    x = 1,640,325.93/2,005.99
  6. Step 6: Final answer
    x = 817.71

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Similar ratio
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1.5x scale

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.