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Finding the Fourth Proportional to 1,192.40, 1,788.48 and 326.66

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Solution

The fourth proportional to 1,192.40, 1,788.48 and 326.66 is: 489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.40 : 1,788.48 = 326.66 : x
  2. Step 2: Convert to fraction form
    1,192.40/1,788.48 = 326.66/x
  3. Step 3: Cross multiply
    1,192.40x = 1,788.48 × 326.66
  4. Step 4: Simplify right side
    1,192.40x = 584,224.88
  5. Step 5: Solve for x
    x = 584,224.88/1,192.40
  6. Step 6: Final answer
    x = 489.96

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1.5x scale

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.