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Finding the Fourth Proportional to 596.35, 825.15 and 518.89

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Solution

The fourth proportional to 596.35, 825.15 and 518.89 is: 717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 825.15 = 518.89 : x
  2. Step 2: Convert to fraction form
    596.35/825.15 = 518.89/x
  3. Step 3: Cross multiply
    596.35x = 825.15 × 518.89
  4. Step 4: Simplify right side
    596.35x = 428,162.08
  5. Step 5: Solve for x
    x = 428,162.08/596.35
  6. Step 6: Final answer
    x = 717.97

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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.