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Finding the Fourth Proportional to 598.40, 822.96 and 481.76

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Solution

The fourth proportional to 598.40, 822.96 and 481.76 is: 662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.40 : 822.96 = 481.76 : x
  2. Step 2: Convert to fraction form
    598.40/822.96 = 481.76/x
  3. Step 3: Cross multiply
    598.40x = 822.96 × 481.76
  4. Step 4: Simplify right side
    598.40x = 396,469.21
  5. Step 5: Solve for x
    x = 396,469.21/598.40
  6. Step 6: Final answer
    x = 662.55

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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.