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Finding the Fourth Proportional to 634.92, 954.42 and 361.54

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Solution

The fourth proportional to 634.92, 954.42 and 361.54 is: 543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 954.42 = 361.54 : x
  2. Step 2: Convert to fraction form
    634.92/954.42 = 361.54/x
  3. Step 3: Cross multiply
    634.92x = 954.42 × 361.54
  4. Step 4: Simplify right side
    634.92x = 345,061.01
  5. Step 5: Solve for x
    x = 345,061.01/634.92
  6. Step 6: Final answer
    x = 543.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.