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Finding the Fourth Proportional to 593.48, 818.82 and 396.68

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Solution

The fourth proportional to 593.48, 818.82 and 396.68 is: 547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.48 : 818.82 = 396.68 : x
  2. Step 2: Convert to fraction form
    593.48/818.82 = 396.68/x
  3. Step 3: Cross multiply
    593.48x = 818.82 × 396.68
  4. Step 4: Simplify right side
    593.48x = 324,809.52
  5. Step 5: Solve for x
    x = 324,809.52/593.48
  6. Step 6: Final answer
    x = 547.30

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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.