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Finding the Fourth Proportional to 826.30, 1,232.15 and 818.88

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Solution

The fourth proportional to 826.30, 1,232.15 and 818.88 is: 1,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.30 : 1,232.15 = 818.88 : x
  2. Step 2: Convert to fraction form
    826.30/1,232.15 = 818.88/x
  3. Step 3: Cross multiply
    826.30x = 1,232.15 × 818.88
  4. Step 4: Simplify right side
    826.30x = 1,008,982.99
  5. Step 5: Solve for x
    x = 1,008,982.99/826.30
  6. Step 6: Final answer
    x = 1,221.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.