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Finding the Fourth Proportional to 804.01, 1,212.19 and 793.65

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Solution

The fourth proportional to 804.01, 1,212.19 and 793.65 is: 1,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.01 : 1,212.19 = 793.65 : x
  2. Step 2: Convert to fraction form
    804.01/1,212.19 = 793.65/x
  3. Step 3: Cross multiply
    804.01x = 1,212.19 × 793.65
  4. Step 4: Simplify right side
    804.01x = 962,054.59
  5. Step 5: Solve for x
    x = 962,054.59/804.01
  6. Step 6: Final answer
    x = 1,196.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.