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Finding the Fourth Proportional to 797.37, 1,196.46 and 412.62

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Solution

The fourth proportional to 797.37, 1,196.46 and 412.62 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.37 : 1,196.46 = 412.62 : x
  2. Step 2: Convert to fraction form
    797.37/1,196.46 = 412.62/x
  3. Step 3: Cross multiply
    797.37x = 1,196.46 × 412.62
  4. Step 4: Simplify right side
    797.37x = 493,683.33
  5. Step 5: Solve for x
    x = 493,683.33/797.37
  6. Step 6: Final answer
    x = 619.14

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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.