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Finding the Fourth Proportional to 1,191.87, 1,787.78 and 326.18

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Solution

The fourth proportional to 1,191.87, 1,787.78 and 326.18 is: 489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.87 : 1,787.78 = 326.18 : x
  2. Step 2: Convert to fraction form
    1,191.87/1,787.78 = 326.18/x
  3. Step 3: Cross multiply
    1,191.87x = 1,787.78 × 326.18
  4. Step 4: Simplify right side
    1,191.87x = 583,127.51
  5. Step 5: Solve for x
    x = 583,127.51/1,191.87
  6. Step 6: Final answer
    x = 489.25

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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.