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Finding the Fourth Proportional to 593.84, 819.67 and 372.78

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Solution

The fourth proportional to 593.84, 819.67 and 372.78 is: 514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.84 : 819.67 = 372.78 : x
  2. Step 2: Convert to fraction form
    593.84/819.67 = 372.78/x
  3. Step 3: Cross multiply
    593.84x = 819.67 × 372.78
  4. Step 4: Simplify right side
    593.84x = 305,556.58
  5. Step 5: Solve for x
    x = 305,556.58/593.84
  6. Step 6: Final answer
    x = 514.55

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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.