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Finding the Fourth Proportional to 671.89, 927.03 and 409.90

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Solution

The fourth proportional to 671.89, 927.03 and 409.90 is: 565.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.89 : 927.03 = 409.90 : x
  2. Step 2: Convert to fraction form
    671.89/927.03 = 409.90/x
  3. Step 3: Cross multiply
    671.89x = 927.03 × 409.90
  4. Step 4: Simplify right side
    671.89x = 379,987.55
  5. Step 5: Solve for x
    x = 379,987.55/671.89
  6. Step 6: Final answer
    x = 565.55

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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.