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Finding the Fourth Proportional to 667.97, 921.41 and 402.23

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Solution

The fourth proportional to 667.97, 921.41 and 402.23 is: 554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.97 : 921.41 = 402.23 : x
  2. Step 2: Convert to fraction form
    667.97/921.41 = 402.23/x
  3. Step 3: Cross multiply
    667.97x = 921.41 × 402.23
  4. Step 4: Simplify right side
    667.97x = 370,612.13
  5. Step 5: Solve for x
    x = 370,612.13/667.97
  6. Step 6: Final answer
    x = 554.84

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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.