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Finding the Fourth Proportional to 558.48, 769.86 and 361.92

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Solution

The fourth proportional to 558.48, 769.86 and 361.92 is: 498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 769.86 = 361.92 : x
  2. Step 2: Convert to fraction form
    558.48/769.86 = 361.92/x
  3. Step 3: Cross multiply
    558.48x = 769.86 × 361.92
  4. Step 4: Simplify right side
    558.48x = 278,627.73
  5. Step 5: Solve for x
    x = 278,627.73/558.48
  6. Step 6: Final answer
    x = 498.90

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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.