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Finding the Fourth Proportional to 968.12, 1,335.78 and 653.97

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Solution

The fourth proportional to 968.12, 1,335.78 and 653.97 is: 902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.12 : 1,335.78 = 653.97 : x
  2. Step 2: Convert to fraction form
    968.12/1,335.78 = 653.97/x
  3. Step 3: Cross multiply
    968.12x = 1,335.78 × 653.97
  4. Step 4: Simplify right side
    968.12x = 873,560.05
  5. Step 5: Solve for x
    x = 873,560.05/968.12
  6. Step 6: Final answer
    x = 902.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.