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Finding the Fourth Proportional to 458.20, 685.86 and 327.78

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Solution

The fourth proportional to 458.20, 685.86 and 327.78 is: 490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.20 : 685.86 = 327.78 : x
  2. Step 2: Convert to fraction form
    458.20/685.86 = 327.78/x
  3. Step 3: Cross multiply
    458.20x = 685.86 × 327.78
  4. Step 4: Simplify right side
    458.20x = 224,811.19
  5. Step 5: Solve for x
    x = 224,811.19/458.20
  6. Step 6: Final answer
    x = 490.64

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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.