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Finding the Fourth Proportional to 645.89, 968.97 and 235.02

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Solution

The fourth proportional to 645.89, 968.97 and 235.02 is: 352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.89 : 968.97 = 235.02 : x
  2. Step 2: Convert to fraction form
    645.89/968.97 = 235.02/x
  3. Step 3: Cross multiply
    645.89x = 968.97 × 235.02
  4. Step 4: Simplify right side
    645.89x = 227,727.33
  5. Step 5: Solve for x
    x = 227,727.33/645.89
  6. Step 6: Final answer
    x = 352.58

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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.