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Finding the Fourth Proportional to 826.72, 1,142.80 and 662.56

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Solution

The fourth proportional to 826.72, 1,142.80 and 662.56 is: 915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.72 : 1,142.80 = 662.56 : x
  2. Step 2: Convert to fraction form
    826.72/1,142.80 = 662.56/x
  3. Step 3: Cross multiply
    826.72x = 1,142.80 × 662.56
  4. Step 4: Simplify right side
    826.72x = 757,173.57
  5. Step 5: Solve for x
    x = 757,173.57/826.72
  6. Step 6: Final answer
    x = 915.88

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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.