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Finding the Fourth Proportional to 596.31, 820.83 and 518.55

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Solution

The fourth proportional to 596.31, 820.83 and 518.55 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.31 : 820.83 = 518.55 : x
  2. Step 2: Convert to fraction form
    596.31/820.83 = 518.55/x
  3. Step 3: Cross multiply
    596.31x = 820.83 × 518.55
  4. Step 4: Simplify right side
    596.31x = 425,641.40
  5. Step 5: Solve for x
    x = 425,641.40/596.31
  6. Step 6: Final answer
    x = 713.79

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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.