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Finding the Fourth Proportional to 797.88, 1,188.15 and 795

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Solution

The fourth proportional to 797.88, 1,188.15 and 795 is: 1,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.88 : 1,188.15 = 795 : x
  2. Step 2: Convert to fraction form
    797.88/1,188.15 = 795/x
  3. Step 3: Cross multiply
    797.88x = 1,188.15 × 795
  4. Step 4: Simplify right side
    797.88x = 944,579.25
  5. Step 5: Solve for x
    x = 944,579.25/797.88
  6. Step 6: Final answer
    x = 1,183.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.