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Finding the Fourth Proportional to 994.45, 1,372.64 and 733.22

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Solution

The fourth proportional to 994.45, 1,372.64 and 733.22 is: 1,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.45 : 1,372.64 = 733.22 : x
  2. Step 2: Convert to fraction form
    994.45/1,372.64 = 733.22/x
  3. Step 3: Cross multiply
    994.45x = 1,372.64 × 733.22
  4. Step 4: Simplify right side
    994.45x = 1,006,447.10
  5. Step 5: Solve for x
    x = 1,006,447.10/994.45
  6. Step 6: Final answer
    x = 1,012.06

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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.