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Finding the Fourth Proportional to 815.75, 1,221.19 and 786.59

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Solution

The fourth proportional to 815.75, 1,221.19 and 786.59 is: 1,177.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.75 : 1,221.19 = 786.59 : x
  2. Step 2: Convert to fraction form
    815.75/1,221.19 = 786.59/x
  3. Step 3: Cross multiply
    815.75x = 1,221.19 × 786.59
  4. Step 4: Simplify right side
    815.75x = 960,567.77
  5. Step 5: Solve for x
    x = 960,567.77/815.75
  6. Step 6: Final answer
    x = 1,177.53

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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.