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Finding the Fourth Proportional to 2,202.20, 3,302.79 and 642.21

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Solution

The fourth proportional to 2,202.20, 3,302.79 and 642.21 is: 963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.20 : 3,302.79 = 642.21 : x
  2. Step 2: Convert to fraction form
    2,202.20/3,302.79 = 642.21/x
  3. Step 3: Cross multiply
    2,202.20x = 3,302.79 × 642.21
  4. Step 4: Simplify right side
    2,202.20x = 2,121,084.77
  5. Step 5: Solve for x
    x = 2,121,084.77/2,202.20
  6. Step 6: Final answer
    x = 963.17

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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.