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Finding the Fourth Proportional to 797.60, 1,196.81 and 310.79

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Solution

The fourth proportional to 797.60, 1,196.81 and 310.79 is: 466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.60 : 1,196.81 = 310.79 : x
  2. Step 2: Convert to fraction form
    797.60/1,196.81 = 310.79/x
  3. Step 3: Cross multiply
    797.60x = 1,196.81 × 310.79
  4. Step 4: Simplify right side
    797.60x = 371,956.58
  5. Step 5: Solve for x
    x = 371,956.58/797.60
  6. Step 6: Final answer
    x = 466.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.