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Finding the Fourth Proportional to 744.33, 1,027.41 and 482.34

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Solution

The fourth proportional to 744.33, 1,027.41 and 482.34 is: 665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.33 : 1,027.41 = 482.34 : x
  2. Step 2: Convert to fraction form
    744.33/1,027.41 = 482.34/x
  3. Step 3: Cross multiply
    744.33x = 1,027.41 × 482.34
  4. Step 4: Simplify right side
    744.33x = 495,560.94
  5. Step 5: Solve for x
    x = 495,560.94/744.33
  6. Step 6: Final answer
    x = 665.78

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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.