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Finding the Fourth Proportional to 797.82, 1,196.26 and 310.30

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Solution

The fourth proportional to 797.82, 1,196.26 and 310.30 is: 465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.82 : 1,196.26 = 310.30 : x
  2. Step 2: Convert to fraction form
    797.82/1,196.26 = 310.30/x
  3. Step 3: Cross multiply
    797.82x = 1,196.26 × 310.30
  4. Step 4: Simplify right side
    797.82x = 371,199.48
  5. Step 5: Solve for x
    x = 371,199.48/797.82
  6. Step 6: Final answer
    x = 465.27

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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.