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Finding the Fourth Proportional to 968.16, 1,335.84 and 636.64

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Solution

The fourth proportional to 968.16, 1,335.84 and 636.64 is: 878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,335.84 = 636.64 : x
  2. Step 2: Convert to fraction form
    968.16/1,335.84 = 636.64/x
  3. Step 3: Cross multiply
    968.16x = 1,335.84 × 636.64
  4. Step 4: Simplify right side
    968.16x = 850,449.18
  5. Step 5: Solve for x
    x = 850,449.18/968.16
  6. Step 6: Final answer
    x = 878.42

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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.