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Finding the Fourth Proportional to 671.68, 927.09 and 423.07

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Solution

The fourth proportional to 671.68, 927.09 and 423.07 is: 583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.68 : 927.09 = 423.07 : x
  2. Step 2: Convert to fraction form
    671.68/927.09 = 423.07/x
  3. Step 3: Cross multiply
    671.68x = 927.09 × 423.07
  4. Step 4: Simplify right side
    671.68x = 392,223.97
  5. Step 5: Solve for x
    x = 392,223.97/671.68
  6. Step 6: Final answer
    x = 583.94

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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.