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Finding the Fourth Proportional to 644.48, 889.37 and 349.74

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Solution

The fourth proportional to 644.48, 889.37 and 349.74 is: 482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 889.37 = 349.74 : x
  2. Step 2: Convert to fraction form
    644.48/889.37 = 349.74/x
  3. Step 3: Cross multiply
    644.48x = 889.37 × 349.74
  4. Step 4: Simplify right side
    644.48x = 311,046.52
  5. Step 5: Solve for x
    x = 311,046.52/644.48
  6. Step 6: Final answer
    x = 482.64

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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.