Home / 1,192.23-1,788.38-326.55

Finding the Fourth Proportional to 1,192.23, 1,788.38 and 326.55

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Solution

The fourth proportional to 1,192.23, 1,788.38 and 326.55 is: 489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.23 : 1,788.38 = 326.55 : x
  2. Step 2: Convert to fraction form
    1,192.23/1,788.38 = 326.55/x
  3. Step 3: Cross multiply
    1,192.23x = 1,788.38 × 326.55
  4. Step 4: Simplify right side
    1,192.23x = 583,995.49
  5. Step 5: Solve for x
    x = 583,995.49/1,192.23
  6. Step 6: Final answer
    x = 489.83

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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.