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Finding the Fourth Proportional to 425.60, 636.60 and 327.02

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Solution

The fourth proportional to 425.60, 636.60 and 327.02 is: 489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.60 : 636.60 = 327.02 : x
  2. Step 2: Convert to fraction form
    425.60/636.60 = 327.02/x
  3. Step 3: Cross multiply
    425.60x = 636.60 × 327.02
  4. Step 4: Simplify right side
    425.60x = 208,180.93
  5. Step 5: Solve for x
    x = 208,180.93/425.60
  6. Step 6: Final answer
    x = 489.15

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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.