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Finding the Fourth Proportional to 644.21, 964.41 and 480.39

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Solution

The fourth proportional to 644.21, 964.41 and 480.39 is: 719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.21 : 964.41 = 480.39 : x
  2. Step 2: Convert to fraction form
    644.21/964.41 = 480.39/x
  3. Step 3: Cross multiply
    644.21x = 964.41 × 480.39
  4. Step 4: Simplify right side
    644.21x = 463,294.28
  5. Step 5: Solve for x
    x = 463,294.28/644.21
  6. Step 6: Final answer
    x = 719.17

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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.