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Finding the Fourth Proportional to 644.41, 966.62 and 428.14

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Solution

The fourth proportional to 644.41, 966.62 and 428.14 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.41 : 966.62 = 428.14 : x
  2. Step 2: Convert to fraction form
    644.41/966.62 = 428.14/x
  3. Step 3: Cross multiply
    644.41x = 966.62 × 428.14
  4. Step 4: Simplify right side
    644.41x = 413,848.69
  5. Step 5: Solve for x
    x = 413,848.69/644.41
  6. Step 6: Final answer
    x = 642.21

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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.