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Finding the Fourth Proportional to 596.20, 822.48 and 397.12

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Solution

The fourth proportional to 596.20, 822.48 and 397.12 is: 547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.20 : 822.48 = 397.12 : x
  2. Step 2: Convert to fraction form
    596.20/822.48 = 397.12/x
  3. Step 3: Cross multiply
    596.20x = 822.48 × 397.12
  4. Step 4: Simplify right side
    596.20x = 326,623.26
  5. Step 5: Solve for x
    x = 326,623.26/596.20
  6. Step 6: Final answer
    x = 547.84

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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.