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Finding the Fourth Proportional to 667.28, 921.31 and 418.73

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Solution

The fourth proportional to 667.28, 921.31 and 418.73 is: 578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.28 : 921.31 = 418.73 : x
  2. Step 2: Convert to fraction form
    667.28/921.31 = 418.73/x
  3. Step 3: Cross multiply
    667.28x = 921.31 × 418.73
  4. Step 4: Simplify right side
    667.28x = 385,774.48
  5. Step 5: Solve for x
    x = 385,774.48/667.28
  6. Step 6: Final answer
    x = 578.13

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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.