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Finding the Fourth Proportional to 2,006.97, 3,010.73 and 620.41

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Solution

The fourth proportional to 2,006.97, 3,010.73 and 620.41 is: 930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.97 : 3,010.73 = 620.41 : x
  2. Step 2: Convert to fraction form
    2,006.97/3,010.73 = 620.41/x
  3. Step 3: Cross multiply
    2,006.97x = 3,010.73 × 620.41
  4. Step 4: Simplify right side
    2,006.97x = 1,867,887.00
  5. Step 5: Solve for x
    x = 1,867,887.00/2,006.97
  6. Step 6: Final answer
    x = 930.70

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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.