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Finding the Fourth Proportional to 593.52, 819.04 and 327.98

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Solution

The fourth proportional to 593.52, 819.04 and 327.98 is: 452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.52 : 819.04 = 327.98 : x
  2. Step 2: Convert to fraction form
    593.52/819.04 = 327.98/x
  3. Step 3: Cross multiply
    593.52x = 819.04 × 327.98
  4. Step 4: Simplify right side
    593.52x = 268,629.66
  5. Step 5: Solve for x
    x = 268,629.66/593.52
  6. Step 6: Final answer
    x = 452.60

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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.