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Finding the Fourth Proportional to 634.61, 949.48 and 360.83

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Solution

The fourth proportional to 634.61, 949.48 and 360.83 is: 539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.61 : 949.48 = 360.83 : x
  2. Step 2: Convert to fraction form
    634.61/949.48 = 360.83/x
  3. Step 3: Cross multiply
    634.61x = 949.48 × 360.83
  4. Step 4: Simplify right side
    634.61x = 342,600.87
  5. Step 5: Solve for x
    x = 342,600.87/634.61
  6. Step 6: Final answer
    x = 539.86

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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.