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Finding the Fourth Proportional to 738.26, 1,106.43 and 326.78

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Solution

The fourth proportional to 738.26, 1,106.43 and 326.78 is: 489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.26 : 1,106.43 = 326.78 : x
  2. Step 2: Convert to fraction form
    738.26/1,106.43 = 326.78/x
  3. Step 3: Cross multiply
    738.26x = 1,106.43 × 326.78
  4. Step 4: Simplify right side
    738.26x = 361,559.20
  5. Step 5: Solve for x
    x = 361,559.20/738.26
  6. Step 6: Final answer
    x = 489.75

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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.