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Finding the Fourth Proportional to 667.97, 921.89 and 458.36

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Solution

The fourth proportional to 667.97, 921.89 and 458.36 is: 632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.97 : 921.89 = 458.36 : x
  2. Step 2: Convert to fraction form
    667.97/921.89 = 458.36/x
  3. Step 3: Cross multiply
    667.97x = 921.89 × 458.36
  4. Step 4: Simplify right side
    667.97x = 422,557.50
  5. Step 5: Solve for x
    x = 422,557.50/667.97
  6. Step 6: Final answer
    x = 632.60

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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.