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Finding the Fourth Proportional to 797.00, 1,195.54 and 277.00

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Solution

The fourth proportional to 797.00, 1,195.54 and 277.00 is: 415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.00 : 1,195.54 = 277.00 : x
  2. Step 2: Convert to fraction form
    797.00/1,195.54 = 277.00/x
  3. Step 3: Cross multiply
    797.00x = 1,195.54 × 277.00
  4. Step 4: Simplify right side
    797.00x = 331,160.90
  5. Step 5: Solve for x
    x = 331,160.90/797.00
  6. Step 6: Final answer
    x = 415.51

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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.