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Finding the Fourth Proportional to 656.15, 984.38 and 327.27

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Solution

The fourth proportional to 656.15, 984.38 and 327.27 is: 490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.15 : 984.38 = 327.27 : x
  2. Step 2: Convert to fraction form
    656.15/984.38 = 327.27/x
  3. Step 3: Cross multiply
    656.15x = 984.38 × 327.27
  4. Step 4: Simplify right side
    656.15x = 322,156.41
  5. Step 5: Solve for x
    x = 322,156.41/656.15
  6. Step 6: Final answer
    x = 490.98

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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.