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Finding the Fourth Proportional to 664.19, 997.70 and 642.32

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Solution

The fourth proportional to 664.19, 997.70 and 642.32 is: 964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.19 : 997.70 = 642.32 : x
  2. Step 2: Convert to fraction form
    664.19/997.70 = 642.32/x
  3. Step 3: Cross multiply
    664.19x = 997.70 × 642.32
  4. Step 4: Simplify right side
    664.19x = 640,843.13
  5. Step 5: Solve for x
    x = 640,843.13/664.19
  6. Step 6: Final answer
    x = 964.85

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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.