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Finding the Fourth Proportional to 593.92, 819.68 and 345.45

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Solution

The fourth proportional to 593.92, 819.68 and 345.45 is: 476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.92 : 819.68 = 345.45 : x
  2. Step 2: Convert to fraction form
    593.92/819.68 = 345.45/x
  3. Step 3: Cross multiply
    593.92x = 819.68 × 345.45
  4. Step 4: Simplify right side
    593.92x = 283,158.46
  5. Step 5: Solve for x
    x = 283,158.46/593.92
  6. Step 6: Final answer
    x = 476.76

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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.