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Finding the Fourth Proportional to 593.68, 819.66 and 428.44

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Solution

The fourth proportional to 593.68, 819.66 and 428.44 is: 591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.68 : 819.66 = 428.44 : x
  2. Step 2: Convert to fraction form
    593.68/819.66 = 428.44/x
  3. Step 3: Cross multiply
    593.68x = 819.66 × 428.44
  4. Step 4: Simplify right side
    593.68x = 351,175.13
  5. Step 5: Solve for x
    x = 351,175.13/593.68
  6. Step 6: Final answer
    x = 591.52

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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.