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Finding the Fourth Proportional to 1,192.42, 1,788.73 and 326.73

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Solution

The fourth proportional to 1,192.42, 1,788.73 and 326.73 is: 490.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.42 : 1,788.73 = 326.73 : x
  2. Step 2: Convert to fraction form
    1,192.42/1,788.73 = 326.73/x
  3. Step 3: Cross multiply
    1,192.42x = 1,788.73 × 326.73
  4. Step 4: Simplify right side
    1,192.42x = 584,430.94
  5. Step 5: Solve for x
    x = 584,430.94/1,192.42
  6. Step 6: Final answer
    x = 490.12

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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.