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Finding the Fourth Proportional to 671.75, 927.59 and 423.49

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Solution

The fourth proportional to 671.75, 927.59 and 423.49 is: 584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.75 : 927.59 = 423.49 : x
  2. Step 2: Convert to fraction form
    671.75/927.59 = 423.49/x
  3. Step 3: Cross multiply
    671.75x = 927.59 × 423.49
  4. Step 4: Simplify right side
    671.75x = 392,825.09
  5. Step 5: Solve for x
    x = 392,825.09/671.75
  6. Step 6: Final answer
    x = 584.78

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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.