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Finding the Fourth Proportional to 797.67, 1,194.33 and 412.11

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Solution

The fourth proportional to 797.67, 1,194.33 and 412.11 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.67 : 1,194.33 = 412.11 : x
  2. Step 2: Convert to fraction form
    797.67/1,194.33 = 412.11/x
  3. Step 3: Cross multiply
    797.67x = 1,194.33 × 412.11
  4. Step 4: Simplify right side
    797.67x = 492,195.34
  5. Step 5: Solve for x
    x = 492,195.34/797.67
  6. Step 6: Final answer
    x = 617.04

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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.