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Finding the Fourth Proportional to 633.32, 948.12 and 427.36

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Solution

The fourth proportional to 633.32, 948.12 and 427.36 is: 639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.32 : 948.12 = 427.36 : x
  2. Step 2: Convert to fraction form
    633.32/948.12 = 427.36/x
  3. Step 3: Cross multiply
    633.32x = 948.12 × 427.36
  4. Step 4: Simplify right side
    633.32x = 405,188.56
  5. Step 5: Solve for x
    x = 405,188.56/633.32
  6. Step 6: Final answer
    x = 639.78

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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.