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Finding the Fourth Proportional to 467.14, 644.67 and 378.82

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Solution

The fourth proportional to 467.14, 644.67 and 378.82 is: 522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.14 : 644.67 = 378.82 : x
  2. Step 2: Convert to fraction form
    467.14/644.67 = 378.82/x
  3. Step 3: Cross multiply
    467.14x = 644.67 × 378.82
  4. Step 4: Simplify right side
    467.14x = 244,213.89
  5. Step 5: Solve for x
    x = 244,213.89/467.14
  6. Step 6: Final answer
    x = 522.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.