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Finding the Fourth Proportional to 644.64, 889.60 and 349.91

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Solution

The fourth proportional to 644.64, 889.60 and 349.91 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.64 : 889.60 = 349.91 : x
  2. Step 2: Convert to fraction form
    644.64/889.60 = 349.91/x
  3. Step 3: Cross multiply
    644.64x = 889.60 × 349.91
  4. Step 4: Simplify right side
    644.64x = 311,274.61
  5. Step 5: Solve for x
    x = 311,274.61/644.64
  6. Step 6: Final answer
    x = 482.87

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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.