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Finding the Fourth Proportional to 645.42, 969.93 and 641.94

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Solution

The fourth proportional to 645.42, 969.93 and 641.94 is: 964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.42 : 969.93 = 641.94 : x
  2. Step 2: Convert to fraction form
    645.42/969.93 = 641.94/x
  3. Step 3: Cross multiply
    645.42x = 969.93 × 641.94
  4. Step 4: Simplify right side
    645.42x = 622,636.86
  5. Step 5: Solve for x
    x = 622,636.86/645.42
  6. Step 6: Final answer
    x = 964.70

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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.