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Finding the Fourth Proportional to 1,346.79, 2,020.34 and 422.33

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Solution

The fourth proportional to 1,346.79, 2,020.34 and 422.33 is: 633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.79 : 2,020.34 = 422.33 : x
  2. Step 2: Convert to fraction form
    1,346.79/2,020.34 = 422.33/x
  3. Step 3: Cross multiply
    1,346.79x = 2,020.34 × 422.33
  4. Step 4: Simplify right side
    1,346.79x = 853,237.98
  5. Step 5: Solve for x
    x = 853,237.98/1,346.79
  6. Step 6: Final answer
    x = 633.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.