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Finding the Fourth Proportional to 593.71, 818.71 and 511.09

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Solution

The fourth proportional to 593.71, 818.71 and 511.09 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.71 : 818.71 = 511.09 : x
  2. Step 2: Convert to fraction form
    593.71/818.71 = 511.09/x
  3. Step 3: Cross multiply
    593.71x = 818.71 × 511.09
  4. Step 4: Simplify right side
    593.71x = 418,434.49
  5. Step 5: Solve for x
    x = 418,434.49/593.71
  6. Step 6: Final answer
    x = 704.78

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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.