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Finding the Fourth Proportional to 821.09, 1,233.45 and 700.80

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Solution

The fourth proportional to 821.09, 1,233.45 and 700.80 is: 1,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.09 : 1,233.45 = 700.80 : x
  2. Step 2: Convert to fraction form
    821.09/1,233.45 = 700.80/x
  3. Step 3: Cross multiply
    821.09x = 1,233.45 × 700.80
  4. Step 4: Simplify right side
    821.09x = 864,401.76
  5. Step 5: Solve for x
    x = 864,401.76/821.09
  6. Step 6: Final answer
    x = 1,052.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.