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Finding the Fourth Proportional to 664.04, 994.36 and 644.58

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Solution

The fourth proportional to 664.04, 994.36 and 644.58 is: 965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.04 : 994.36 = 644.58 : x
  2. Step 2: Convert to fraction form
    664.04/994.36 = 644.58/x
  3. Step 3: Cross multiply
    664.04x = 994.36 × 644.58
  4. Step 4: Simplify right side
    664.04x = 640,944.57
  5. Step 5: Solve for x
    x = 640,944.57/664.04
  6. Step 6: Final answer
    x = 965.22

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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.