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Finding the Fourth Proportional to 2,003.25, 3,005.21 and 616.54

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Solution

The fourth proportional to 2,003.25, 3,005.21 and 616.54 is: 924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.25 : 3,005.21 = 616.54 : x
  2. Step 2: Convert to fraction form
    2,003.25/3,005.21 = 616.54/x
  3. Step 3: Cross multiply
    2,003.25x = 3,005.21 × 616.54
  4. Step 4: Simplify right side
    2,003.25x = 1,852,829.09
  5. Step 5: Solve for x
    x = 1,852,829.09/2,003.25
  6. Step 6: Final answer
    x = 924.91

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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.