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Finding the Fourth Proportional to 644.24, 963.60 and 488.48

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Solution

The fourth proportional to 644.24, 963.60 and 488.48 is: 730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 963.60 = 488.48 : x
  2. Step 2: Convert to fraction form
    644.24/963.60 = 488.48/x
  3. Step 3: Cross multiply
    644.24x = 963.60 × 488.48
  4. Step 4: Simplify right side
    644.24x = 470,699.33
  5. Step 5: Solve for x
    x = 470,699.33/644.24
  6. Step 6: Final answer
    x = 730.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.