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Finding the Fourth Proportional to 2,020.05, 3,030.42 and 633.11

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Solution

The fourth proportional to 2,020.05, 3,030.42 and 633.11 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.05 : 3,030.42 = 633.11 : x
  2. Step 2: Convert to fraction form
    2,020.05/3,030.42 = 633.11/x
  3. Step 3: Cross multiply
    2,020.05x = 3,030.42 × 633.11
  4. Step 4: Simplify right side
    2,020.05x = 1,918,589.21
  5. Step 5: Solve for x
    x = 1,918,589.21/2,020.05
  6. Step 6: Final answer
    x = 949.77

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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.