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Finding the Fourth Proportional to 797.06, 1,195.72 and 277.20

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Solution

The fourth proportional to 797.06, 1,195.72 and 277.20 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.06 : 1,195.72 = 277.20 : x
  2. Step 2: Convert to fraction form
    797.06/1,195.72 = 277.20/x
  3. Step 3: Cross multiply
    797.06x = 1,195.72 × 277.20
  4. Step 4: Simplify right side
    797.06x = 331,453.58
  5. Step 5: Solve for x
    x = 331,453.58/797.06
  6. Step 6: Final answer
    x = 415.85

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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.