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Finding the Fourth Proportional to 644.79, 966.74 and 397.97

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Solution

The fourth proportional to 644.79, 966.74 and 397.97 is: 596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.79 : 966.74 = 397.97 : x
  2. Step 2: Convert to fraction form
    644.79/966.74 = 397.97/x
  3. Step 3: Cross multiply
    644.79x = 966.74 × 397.97
  4. Step 4: Simplify right side
    644.79x = 384,726.69
  5. Step 5: Solve for x
    x = 384,726.69/644.79
  6. Step 6: Final answer
    x = 596.67

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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.