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Finding the Fourth Proportional to 981.20, 1,350.60 and 894.80

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Solution

The fourth proportional to 981.20, 1,350.60 and 894.80 is: 1,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.20 : 1,350.60 = 894.80 : x
  2. Step 2: Convert to fraction form
    981.20/1,350.60 = 894.80/x
  3. Step 3: Cross multiply
    981.20x = 1,350.60 × 894.80
  4. Step 4: Simplify right side
    981.20x = 1,208,516.88
  5. Step 5: Solve for x
    x = 1,208,516.88/981.20
  6. Step 6: Final answer
    x = 1,231.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.