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Finding the Fourth Proportional to 744.90, 1,027.94 and 408.80

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Solution

The fourth proportional to 744.90, 1,027.94 and 408.80 is: 564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.90 : 1,027.94 = 408.80 : x
  2. Step 2: Convert to fraction form
    744.90/1,027.94 = 408.80/x
  3. Step 3: Cross multiply
    744.90x = 1,027.94 × 408.80
  4. Step 4: Simplify right side
    744.90x = 420,221.87
  5. Step 5: Solve for x
    x = 420,221.87/744.90
  6. Step 6: Final answer
    x = 564.13

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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.