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Finding the Fourth Proportional to 634.21, 948.87 and 427.81

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Solution

The fourth proportional to 634.21, 948.87 and 427.81 is: 640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.21 : 948.87 = 427.81 : x
  2. Step 2: Convert to fraction form
    634.21/948.87 = 427.81/x
  3. Step 3: Cross multiply
    634.21x = 948.87 × 427.81
  4. Step 4: Simplify right side
    634.21x = 405,936.07
  5. Step 5: Solve for x
    x = 405,936.07/634.21
  6. Step 6: Final answer
    x = 640.07

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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.