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Finding the Fourth Proportional to 645.92, 968.86 and 158.97

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Solution

The fourth proportional to 645.92, 968.86 and 158.97 is: 238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.92 : 968.86 = 158.97 : x
  2. Step 2: Convert to fraction form
    645.92/968.86 = 158.97/x
  3. Step 3: Cross multiply
    645.92x = 968.86 × 158.97
  4. Step 4: Simplify right side
    645.92x = 154,020.07
  5. Step 5: Solve for x
    x = 154,020.07/645.92
  6. Step 6: Final answer
    x = 238.45

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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.