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Finding the Fourth Proportional to 644.39, 889.19 and 360.83

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Solution

The fourth proportional to 644.39, 889.19 and 360.83 is: 497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.39 : 889.19 = 360.83 : x
  2. Step 2: Convert to fraction form
    644.39/889.19 = 360.83/x
  3. Step 3: Cross multiply
    644.39x = 889.19 × 360.83
  4. Step 4: Simplify right side
    644.39x = 320,842.52
  5. Step 5: Solve for x
    x = 320,842.52/644.39
  6. Step 6: Final answer
    x = 497.90

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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.