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Finding the Fourth Proportional to 944.57, 1,413.20 and 634.94

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Solution

The fourth proportional to 944.57, 1,413.20 and 634.94 is: 949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.57 : 1,413.20 = 634.94 : x
  2. Step 2: Convert to fraction form
    944.57/1,413.20 = 634.94/x
  3. Step 3: Cross multiply
    944.57x = 1,413.20 × 634.94
  4. Step 4: Simplify right side
    944.57x = 897,302.33
  5. Step 5: Solve for x
    x = 897,302.33/944.57
  6. Step 6: Final answer
    x = 949.96

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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.