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Finding the Fourth Proportional to 664.78, 998.09 and 458.84

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Solution

The fourth proportional to 664.78, 998.09 and 458.84 is: 688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.78 : 998.09 = 458.84 : x
  2. Step 2: Convert to fraction form
    664.78/998.09 = 458.84/x
  3. Step 3: Cross multiply
    664.78x = 998.09 × 458.84
  4. Step 4: Simplify right side
    664.78x = 457,963.62
  5. Step 5: Solve for x
    x = 457,963.62/664.78
  6. Step 6: Final answer
    x = 688.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.