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Finding the Fourth Proportional to 804.75, 1,212.60 and 716.36

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Solution

The fourth proportional to 804.75, 1,212.60 and 716.36 is: 1,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.75 : 1,212.60 = 716.36 : x
  2. Step 2: Convert to fraction form
    804.75/1,212.60 = 716.36/x
  3. Step 3: Cross multiply
    804.75x = 1,212.60 × 716.36
  4. Step 4: Simplify right side
    804.75x = 868,652.07
  5. Step 5: Solve for x
    x = 868,652.07/804.75
  6. Step 6: Final answer
    x = 1,079.41

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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.