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Finding the Fourth Proportional to 872.64, 1,201.32 and 650.88

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Solution

The fourth proportional to 872.64, 1,201.32 and 650.88 is: 896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.64 : 1,201.32 = 650.88 : x
  2. Step 2: Convert to fraction form
    872.64/1,201.32 = 650.88/x
  3. Step 3: Cross multiply
    872.64x = 1,201.32 × 650.88
  4. Step 4: Simplify right side
    872.64x = 781,915.16
  5. Step 5: Solve for x
    x = 781,915.16/872.64
  6. Step 6: Final answer
    x = 896.03

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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.