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Finding the Fourth Proportional to 593.77, 819.41 and 331.78

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Solution

The fourth proportional to 593.77, 819.41 and 331.78 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.77 : 819.41 = 331.78 : x
  2. Step 2: Convert to fraction form
    593.77/819.41 = 331.78/x
  3. Step 3: Cross multiply
    593.77x = 819.41 × 331.78
  4. Step 4: Simplify right side
    593.77x = 271,860.58
  5. Step 5: Solve for x
    x = 271,860.58/593.77
  6. Step 6: Final answer
    x = 457.86

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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.