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Finding the Fourth Proportional to 1,192.42, 1,788.63 and 422.38

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Solution

The fourth proportional to 1,192.42, 1,788.63 and 422.38 is: 633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.42 : 1,788.63 = 422.38 : x
  2. Step 2: Convert to fraction form
    1,192.42/1,788.63 = 422.38/x
  3. Step 3: Cross multiply
    1,192.42x = 1,788.63 × 422.38
  4. Step 4: Simplify right side
    1,192.42x = 755,470.48
  5. Step 5: Solve for x
    x = 755,470.48/1,192.42
  6. Step 6: Final answer
    x = 633.56

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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.