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Finding the Fourth Proportional to 664.50, 997.15 and 624.00

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Solution

The fourth proportional to 664.50, 997.15 and 624.00 is: 936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.50 : 997.15 = 624.00 : x
  2. Step 2: Convert to fraction form
    664.50/997.15 = 624.00/x
  3. Step 3: Cross multiply
    664.50x = 997.15 × 624.00
  4. Step 4: Simplify right side
    664.50x = 622,220.67
  5. Step 5: Solve for x
    x = 622,220.67/664.50
  6. Step 6: Final answer
    x = 936.38

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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.