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Finding the Fourth Proportional to 644.44, 889.33 and 349.71

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Solution

The fourth proportional to 644.44, 889.33 and 349.71 is: 482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.44 : 889.33 = 349.71 : x
  2. Step 2: Convert to fraction form
    644.44/889.33 = 349.71/x
  3. Step 3: Cross multiply
    644.44x = 889.33 × 349.71
  4. Step 4: Simplify right side
    644.44x = 311,001.40
  5. Step 5: Solve for x
    x = 311,001.40/644.44
  6. Step 6: Final answer
    x = 482.60

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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.