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Finding the Fourth Proportional to 2,001, 3,001.66 and 633

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Solution

The fourth proportional to 2,001, 3,001.66 and 633 is: 949.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001 : 3,001.66 = 633 : x
  2. Step 2: Convert to fraction form
    2,001/3,001.66 = 633/x
  3. Step 3: Cross multiply
    2,001x = 3,001.66 × 633
  4. Step 4: Simplify right side
    2,001x = 1,900,050.78
  5. Step 5: Solve for x
    x = 1,900,050.78/2,001
  6. Step 6: Final answer
    x = 949.55

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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.