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Finding the Fourth Proportional to 547.09, 818.60 and 327.83

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Solution

The fourth proportional to 547.09, 818.60 and 327.83 is: 490.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.09 : 818.60 = 327.83 : x
  2. Step 2: Convert to fraction form
    547.09/818.60 = 327.83/x
  3. Step 3: Cross multiply
    547.09x = 818.60 × 327.83
  4. Step 4: Simplify right side
    547.09x = 268,361.64
  5. Step 5: Solve for x
    x = 268,361.64/547.09
  6. Step 6: Final answer
    x = 490.53

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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.