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Finding the Fourth Proportional to 463.92, 698.46 and 361.80

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Solution

The fourth proportional to 463.92, 698.46 and 361.80 is: 544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 698.46 = 361.80 : x
  2. Step 2: Convert to fraction form
    463.92/698.46 = 361.80/x
  3. Step 3: Cross multiply
    463.92x = 698.46 × 361.80
  4. Step 4: Simplify right side
    463.92x = 252,702.83
  5. Step 5: Solve for x
    x = 252,702.83/463.92
  6. Step 6: Final answer
    x = 544.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.