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Finding the Fourth Proportional to 994.42, 1,372.09 and 552.23

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Solution

The fourth proportional to 994.42, 1,372.09 and 552.23 is: 761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.42 : 1,372.09 = 552.23 : x
  2. Step 2: Convert to fraction form
    994.42/1,372.09 = 552.23/x
  3. Step 3: Cross multiply
    994.42x = 1,372.09 × 552.23
  4. Step 4: Simplify right side
    994.42x = 757,709.26
  5. Step 5: Solve for x
    x = 757,709.26/994.42
  6. Step 6: Final answer
    x = 761.96

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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.