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Finding the Fourth Proportional to 644.84, 966.14 and 401.54

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Solution

The fourth proportional to 644.84, 966.14 and 401.54 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.84 : 966.14 = 401.54 : x
  2. Step 2: Convert to fraction form
    644.84/966.14 = 401.54/x
  3. Step 3: Cross multiply
    644.84x = 966.14 × 401.54
  4. Step 4: Simplify right side
    644.84x = 387,943.86
  5. Step 5: Solve for x
    x = 387,943.86/644.84
  6. Step 6: Final answer
    x = 601.61

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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.