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Finding the Fourth Proportional to 644.65, 889.61 and 349.92

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Solution

The fourth proportional to 644.65, 889.61 and 349.92 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.65 : 889.61 = 349.92 : x
  2. Step 2: Convert to fraction form
    644.65/889.61 = 349.92/x
  3. Step 3: Cross multiply
    644.65x = 889.61 × 349.92
  4. Step 4: Simplify right side
    644.65x = 311,290.58
  5. Step 5: Solve for x
    x = 311,290.58/644.65
  6. Step 6: Final answer
    x = 482.88

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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.