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Finding the Fourth Proportional to 738.04, 1,106.68 and 327.30

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Solution

The fourth proportional to 738.04, 1,106.68 and 327.30 is: 490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.04 : 1,106.68 = 327.30 : x
  2. Step 2: Convert to fraction form
    738.04/1,106.68 = 327.30/x
  3. Step 3: Cross multiply
    738.04x = 1,106.68 × 327.30
  4. Step 4: Simplify right side
    738.04x = 362,215.55
  5. Step 5: Solve for x
    x = 362,215.55/738.04
  6. Step 6: Final answer
    x = 490.78

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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.