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Finding the Fourth Proportional to 1,346.92, 2,020.22 and 422.50

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Solution

The fourth proportional to 1,346.92, 2,020.22 and 422.50 is: 633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.92 : 2,020.22 = 422.50 : x
  2. Step 2: Convert to fraction form
    1,346.92/2,020.22 = 422.50/x
  3. Step 3: Cross multiply
    1,346.92x = 2,020.22 × 422.50
  4. Step 4: Simplify right side
    1,346.92x = 853,542.95
  5. Step 5: Solve for x
    x = 853,542.95/1,346.92
  6. Step 6: Final answer
    x = 633.70

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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.