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Finding the Fourth Proportional to 644.72, 889.56 and 364.96

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Solution

The fourth proportional to 644.72, 889.56 and 364.96 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.72 : 889.56 = 364.96 : x
  2. Step 2: Convert to fraction form
    644.72/889.56 = 364.96/x
  3. Step 3: Cross multiply
    644.72x = 889.56 × 364.96
  4. Step 4: Simplify right side
    644.72x = 324,653.82
  5. Step 5: Solve for x
    x = 324,653.82/644.72
  6. Step 6: Final answer
    x = 503.56

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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.