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Finding the Fourth Proportional to 738.70, 1,107.16 and 326.96

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Solution

The fourth proportional to 738.70, 1,107.16 and 326.96 is: 490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.70 : 1,107.16 = 326.96 : x
  2. Step 2: Convert to fraction form
    738.70/1,107.16 = 326.96/x
  3. Step 3: Cross multiply
    738.70x = 1,107.16 × 326.96
  4. Step 4: Simplify right side
    738.70x = 361,997.03
  5. Step 5: Solve for x
    x = 361,997.03/738.70
  6. Step 6: Final answer
    x = 490.05

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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.