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Finding the Fourth Proportional to 645.44, 966.24 and 416.96

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Solution

The fourth proportional to 645.44, 966.24 and 416.96 is: 624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.44 : 966.24 = 416.96 : x
  2. Step 2: Convert to fraction form
    645.44/966.24 = 416.96/x
  3. Step 3: Cross multiply
    645.44x = 966.24 × 416.96
  4. Step 4: Simplify right side
    645.44x = 402,883.43
  5. Step 5: Solve for x
    x = 402,883.43/645.44
  6. Step 6: Final answer
    x = 624.20

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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.