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Finding the Fourth Proportional to 593.85, 819.21 and 404.64

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Solution

The fourth proportional to 593.85, 819.21 and 404.64 is: 558.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.85 : 819.21 = 404.64 : x
  2. Step 2: Convert to fraction form
    593.85/819.21 = 404.64/x
  3. Step 3: Cross multiply
    593.85x = 819.21 × 404.64
  4. Step 4: Simplify right side
    593.85x = 331,485.13
  5. Step 5: Solve for x
    x = 331,485.13/593.85
  6. Step 6: Final answer
    x = 558.20

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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.