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Finding the Fourth Proportional to 604.38, 828.62 and 593.45

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Solution

The fourth proportional to 604.38, 828.62 and 593.45 is: 813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.38 : 828.62 = 593.45 : x
  2. Step 2: Convert to fraction form
    604.38/828.62 = 593.45/x
  3. Step 3: Cross multiply
    604.38x = 828.62 × 593.45
  4. Step 4: Simplify right side
    604.38x = 491,744.54
  5. Step 5: Solve for x
    x = 491,744.54/604.38
  6. Step 6: Final answer
    x = 813.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.