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Finding the Fourth Proportional to 596.45, 823.19 and 334.49

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Solution

The fourth proportional to 596.45, 823.19 and 334.49 is: 461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 823.19 = 334.49 : x
  2. Step 2: Convert to fraction form
    596.45/823.19 = 334.49/x
  3. Step 3: Cross multiply
    596.45x = 823.19 × 334.49
  4. Step 4: Simplify right side
    596.45x = 275,343.03
  5. Step 5: Solve for x
    x = 275,343.03/596.45
  6. Step 6: Final answer
    x = 461.63

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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.