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Finding the Fourth Proportional to 981.50, 1,344.67 and 944.60

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Solution

The fourth proportional to 981.50, 1,344.67 and 944.60 is: 1,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.50 : 1,344.67 = 944.60 : x
  2. Step 2: Convert to fraction form
    981.50/1,344.67 = 944.60/x
  3. Step 3: Cross multiply
    981.50x = 1,344.67 × 944.60
  4. Step 4: Simplify right side
    981.50x = 1,270,175.28
  5. Step 5: Solve for x
    x = 1,270,175.28/981.50
  6. Step 6: Final answer
    x = 1,294.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.