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Finding the Fourth Proportional to 656.71, 984.96 and 427.23

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Solution

The fourth proportional to 656.71, 984.96 and 427.23 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.71 : 984.96 = 427.23 : x
  2. Step 2: Convert to fraction form
    656.71/984.96 = 427.23/x
  3. Step 3: Cross multiply
    656.71x = 984.96 × 427.23
  4. Step 4: Simplify right side
    656.71x = 420,804.46
  5. Step 5: Solve for x
    x = 420,804.46/656.71
  6. Step 6: Final answer
    x = 640.78

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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.