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Finding the Fourth Proportional to 644.77, 966.81 and 279.39

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Solution

The fourth proportional to 644.77, 966.81 and 279.39 is: 418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.77 : 966.81 = 279.39 : x
  2. Step 2: Convert to fraction form
    644.77/966.81 = 279.39/x
  3. Step 3: Cross multiply
    644.77x = 966.81 × 279.39
  4. Step 4: Simplify right side
    644.77x = 270,117.05
  5. Step 5: Solve for x
    x = 270,117.05/644.77
  6. Step 6: Final answer
    x = 418.94

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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.