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Finding the Fourth Proportional to 797.84, 1,195.28 and 668.67

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Solution

The fourth proportional to 797.84, 1,195.28 and 668.67 is: 1,001.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.84 : 1,195.28 = 668.67 : x
  2. Step 2: Convert to fraction form
    797.84/1,195.28 = 668.67/x
  3. Step 3: Cross multiply
    797.84x = 1,195.28 × 668.67
  4. Step 4: Simplify right side
    797.84x = 799,241.90
  5. Step 5: Solve for x
    x = 799,241.90/797.84
  6. Step 6: Final answer
    x = 1,001.76

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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.