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Finding the Fourth Proportional to 644.09, 964.31 and 512.87

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Solution

The fourth proportional to 644.09, 964.31 and 512.87 is: 767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.09 : 964.31 = 512.87 : x
  2. Step 2: Convert to fraction form
    644.09/964.31 = 512.87/x
  3. Step 3: Cross multiply
    644.09x = 964.31 × 512.87
  4. Step 4: Simplify right side
    644.09x = 494,558.28
  5. Step 5: Solve for x
    x = 494,558.28/644.09
  6. Step 6: Final answer
    x = 767.85

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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.