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Finding the Fourth Proportional to 664.50, 994.79 and 458.63

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Solution

The fourth proportional to 664.50, 994.79 and 458.63 is: 686.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.50 : 994.79 = 458.63 : x
  2. Step 2: Convert to fraction form
    664.50/994.79 = 458.63/x
  3. Step 3: Cross multiply
    664.50x = 994.79 × 458.63
  4. Step 4: Simplify right side
    664.50x = 456,240.54
  5. Step 5: Solve for x
    x = 456,240.54/664.50
  6. Step 6: Final answer
    x = 686.59

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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.