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Finding the Fourth Proportional to 593.42, 819.25 and 411.84

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Solution

The fourth proportional to 593.42, 819.25 and 411.84 is: 568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.42 : 819.25 = 411.84 : x
  2. Step 2: Convert to fraction form
    593.42/819.25 = 411.84/x
  3. Step 3: Cross multiply
    593.42x = 819.25 × 411.84
  4. Step 4: Simplify right side
    593.42x = 337,403.00
  5. Step 5: Solve for x
    x = 337,403.00/593.42
  6. Step 6: Final answer
    x = 568.58

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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.