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Finding the Fourth Proportional to 744.70, 1,115.23 and 452.36

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Solution

The fourth proportional to 744.70, 1,115.23 and 452.36 is: 677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.70 : 1,115.23 = 452.36 : x
  2. Step 2: Convert to fraction form
    744.70/1,115.23 = 452.36/x
  3. Step 3: Cross multiply
    744.70x = 1,115.23 × 452.36
  4. Step 4: Simplify right side
    744.70x = 504,485.44
  5. Step 5: Solve for x
    x = 504,485.44/744.70
  6. Step 6: Final answer
    x = 677.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.