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Finding the Fourth Proportional to 797.73, 1,196.18 and 310.92

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Solution

The fourth proportional to 797.73, 1,196.18 and 310.92 is: 466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.73 : 1,196.18 = 310.92 : x
  2. Step 2: Convert to fraction form
    797.73/1,196.18 = 310.92/x
  3. Step 3: Cross multiply
    797.73x = 1,196.18 × 310.92
  4. Step 4: Simplify right side
    797.73x = 371,916.29
  5. Step 5: Solve for x
    x = 371,916.29/797.73
  6. Step 6: Final answer
    x = 466.22

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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.