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Finding the Fourth Proportional to 884.64, 1,217.28 and 662.88

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Solution

The fourth proportional to 884.64, 1,217.28 and 662.88 is: 912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.64 : 1,217.28 = 662.88 : x
  2. Step 2: Convert to fraction form
    884.64/1,217.28 = 662.88/x
  3. Step 3: Cross multiply
    884.64x = 1,217.28 × 662.88
  4. Step 4: Simplify right side
    884.64x = 806,910.57
  5. Step 5: Solve for x
    x = 806,910.57/884.64
  6. Step 6: Final answer
    x = 912.13

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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.