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Finding the Fourth Proportional to 644.00, 889.09 and 447.77

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Solution

The fourth proportional to 644.00, 889.09 and 447.77 is: 618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.00 : 889.09 = 447.77 : x
  2. Step 2: Convert to fraction form
    644.00/889.09 = 447.77/x
  3. Step 3: Cross multiply
    644.00x = 889.09 × 447.77
  4. Step 4: Simplify right side
    644.00x = 398,105.59
  5. Step 5: Solve for x
    x = 398,105.59/644.00
  6. Step 6: Final answer
    x = 618.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.