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Finding the Fourth Proportional to 593.49, 819.08 and 344.81

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Solution

The fourth proportional to 593.49, 819.08 and 344.81 is: 475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.49 : 819.08 = 344.81 : x
  2. Step 2: Convert to fraction form
    593.49/819.08 = 344.81/x
  3. Step 3: Cross multiply
    593.49x = 819.08 × 344.81
  4. Step 4: Simplify right side
    593.49x = 282,421.16
  5. Step 5: Solve for x
    x = 282,421.16/593.49
  6. Step 6: Final answer
    x = 475.87

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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.