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Finding the Fourth Proportional to 644.76, 889.66 and 396.00

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Solution

The fourth proportional to 644.76, 889.66 and 396.00 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 889.66 = 396.00 : x
  2. Step 2: Convert to fraction form
    644.76/889.66 = 396.00/x
  3. Step 3: Cross multiply
    644.76x = 889.66 × 396.00
  4. Step 4: Simplify right side
    644.76x = 352,299.92
  5. Step 5: Solve for x
    x = 352,299.92/644.76
  6. Step 6: Final answer
    x = 546.41

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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.