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Finding the Fourth Proportional to 645.09, 894.35 and 622.55

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Solution

The fourth proportional to 645.09, 894.35 and 622.55 is: 863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.09 : 894.35 = 622.55 : x
  2. Step 2: Convert to fraction form
    645.09/894.35 = 622.55/x
  3. Step 3: Cross multiply
    645.09x = 894.35 × 622.55
  4. Step 4: Simplify right side
    645.09x = 556,770.01
  5. Step 5: Solve for x
    x = 556,770.01/645.09
  6. Step 6: Final answer
    x = 863.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.