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Finding the Fourth Proportional to 644.37, 892.97 and 632.06

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Solution

The fourth proportional to 644.37, 892.97 and 632.06 is: 875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.37 : 892.97 = 632.06 : x
  2. Step 2: Convert to fraction form
    644.37/892.97 = 632.06/x
  3. Step 3: Cross multiply
    644.37x = 892.97 × 632.06
  4. Step 4: Simplify right side
    644.37x = 564,410.62
  5. Step 5: Solve for x
    x = 564,410.62/644.37
  6. Step 6: Final answer
    x = 875.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.