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Finding the Fourth Proportional to 994.50, 1,372.41 and 684.54

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Solution

The fourth proportional to 994.50, 1,372.41 and 684.54 is: 944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.50 : 1,372.41 = 684.54 : x
  2. Step 2: Convert to fraction form
    994.50/1,372.41 = 684.54/x
  3. Step 3: Cross multiply
    994.50x = 1,372.41 × 684.54
  4. Step 4: Simplify right side
    994.50x = 939,469.54
  5. Step 5: Solve for x
    x = 939,469.54/994.50
  6. Step 6: Final answer
    x = 944.67

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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.