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Finding the Fourth Proportional to 596.28, 822.45 and 419.61

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Solution

The fourth proportional to 596.28, 822.45 and 419.61 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.28 : 822.45 = 419.61 : x
  2. Step 2: Convert to fraction form
    596.28/822.45 = 419.61/x
  3. Step 3: Cross multiply
    596.28x = 822.45 × 419.61
  4. Step 4: Simplify right side
    596.28x = 345,112.90
  5. Step 5: Solve for x
    x = 345,112.90/596.28
  6. Step 6: Final answer
    x = 578.78

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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.