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Finding the Fourth Proportional to 968.46, 1,450.32 and 943.80

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Solution

The fourth proportional to 968.46, 1,450.32 and 943.80 is: 1,413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.46 : 1,450.32 = 943.80 : x
  2. Step 2: Convert to fraction form
    968.46/1,450.32 = 943.80/x
  3. Step 3: Cross multiply
    968.46x = 1,450.32 × 943.80
  4. Step 4: Simplify right side
    968.46x = 1,368,812.02
  5. Step 5: Solve for x
    x = 1,368,812.02/968.46
  6. Step 6: Final answer
    x = 1,413.39

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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.