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Finding the Fourth Proportional to 644.36, 962.62 and 411.38

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Solution

The fourth proportional to 644.36, 962.62 and 411.38 is: 614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.36 : 962.62 = 411.38 : x
  2. Step 2: Convert to fraction form
    644.36/962.62 = 411.38/x
  3. Step 3: Cross multiply
    644.36x = 962.62 × 411.38
  4. Step 4: Simplify right side
    644.36x = 396,002.62
  5. Step 5: Solve for x
    x = 396,002.62/644.36
  6. Step 6: Final answer
    x = 614.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.