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Finding the Fourth Proportional to 816.00, 1,221.56 and 786.84

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Solution

The fourth proportional to 816.00, 1,221.56 and 786.84 is: 1,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.00 : 1,221.56 = 786.84 : x
  2. Step 2: Convert to fraction form
    816.00/1,221.56 = 786.84/x
  3. Step 3: Cross multiply
    816.00x = 1,221.56 × 786.84
  4. Step 4: Simplify right side
    816.00x = 961,168.13
  5. Step 5: Solve for x
    x = 961,168.13/816.00
  6. Step 6: Final answer
    x = 1,177.91

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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.