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Finding the Fourth Proportional to 593.76, 819.62 and 391.84

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Solution

The fourth proportional to 593.76, 819.62 and 391.84 is: 540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.76 : 819.62 = 391.84 : x
  2. Step 2: Convert to fraction form
    593.76/819.62 = 391.84/x
  3. Step 3: Cross multiply
    593.76x = 819.62 × 391.84
  4. Step 4: Simplify right side
    593.76x = 321,164.18
  5. Step 5: Solve for x
    x = 321,164.18/593.76
  6. Step 6: Final answer
    x = 540.90

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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.