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Finding the Fourth Proportional to 596.85, 825.84 and 519.39

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Solution

The fourth proportional to 596.85, 825.84 and 519.39 is: 718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.85 : 825.84 = 519.39 : x
  2. Step 2: Convert to fraction form
    596.85/825.84 = 519.39/x
  3. Step 3: Cross multiply
    596.85x = 825.84 × 519.39
  4. Step 4: Simplify right side
    596.85x = 428,933.04
  5. Step 5: Solve for x
    x = 428,933.04/596.85
  6. Step 6: Final answer
    x = 718.66

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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.