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Finding the Fourth Proportional to 664.66, 997.26 and 566.25

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Solution

The fourth proportional to 664.66, 997.26 and 566.25 is: 849.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.66 : 997.26 = 566.25 : x
  2. Step 2: Convert to fraction form
    664.66/997.26 = 566.25/x
  3. Step 3: Cross multiply
    664.66x = 997.26 × 566.25
  4. Step 4: Simplify right side
    664.66x = 564,698.48
  5. Step 5: Solve for x
    x = 564,698.48/664.66
  6. Step 6: Final answer
    x = 849.61

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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.