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Finding the Fourth Proportional to 644.81, 965.42 and 488.15

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Solution

The fourth proportional to 644.81, 965.42 and 488.15 is: 730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.81 : 965.42 = 488.15 : x
  2. Step 2: Convert to fraction form
    644.81/965.42 = 488.15/x
  3. Step 3: Cross multiply
    644.81x = 965.42 × 488.15
  4. Step 4: Simplify right side
    644.81x = 471,267.96
  5. Step 5: Solve for x
    x = 471,267.96/644.81
  6. Step 6: Final answer
    x = 730.87

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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.