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Finding the Fourth Proportional to 596.34, 822.70 and 419.56

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Solution

The fourth proportional to 596.34, 822.70 and 419.56 is: 578.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 822.70 = 419.56 : x
  2. Step 2: Convert to fraction form
    596.34/822.70 = 419.56/x
  3. Step 3: Cross multiply
    596.34x = 822.70 × 419.56
  4. Step 4: Simplify right side
    596.34x = 345,170.48
  5. Step 5: Solve for x
    x = 345,170.48/596.34
  6. Step 6: Final answer
    x = 578.81

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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.