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Finding the Fourth Proportional to 843.96, 1,263.97 and 814.77

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Solution

The fourth proportional to 843.96, 1,263.97 and 814.77 is: 1,220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.96 : 1,263.97 = 814.77 : x
  2. Step 2: Convert to fraction form
    843.96/1,263.97 = 814.77/x
  3. Step 3: Cross multiply
    843.96x = 1,263.97 × 814.77
  4. Step 4: Simplify right side
    843.96x = 1,029,844.84
  5. Step 5: Solve for x
    x = 1,029,844.84/843.96
  6. Step 6: Final answer
    x = 1,220.25

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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.