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Finding the Fourth Proportional to 644.32, 966.06 and 355.96

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Solution

The fourth proportional to 644.32, 966.06 and 355.96 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.32 : 966.06 = 355.96 : x
  2. Step 2: Convert to fraction form
    644.32/966.06 = 355.96/x
  3. Step 3: Cross multiply
    644.32x = 966.06 × 355.96
  4. Step 4: Simplify right side
    644.32x = 343,878.72
  5. Step 5: Solve for x
    x = 343,878.72/644.32
  6. Step 6: Final answer
    x = 533.71

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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.