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Finding the Fourth Proportional to 644.34, 963.99 and 461.82

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Solution

The fourth proportional to 644.34, 963.99 and 461.82 is: 690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.34 : 963.99 = 461.82 : x
  2. Step 2: Convert to fraction form
    644.34/963.99 = 461.82/x
  3. Step 3: Cross multiply
    644.34x = 963.99 × 461.82
  4. Step 4: Simplify right side
    644.34x = 445,189.86
  5. Step 5: Solve for x
    x = 445,189.86/644.34
  6. Step 6: Final answer
    x = 690.92

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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.