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Finding the Fourth Proportional to 796.42, 1,195.05 and 379.84

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Solution

The fourth proportional to 796.42, 1,195.05 and 379.84 is: 569.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.42 : 1,195.05 = 379.84 : x
  2. Step 2: Convert to fraction form
    796.42/1,195.05 = 379.84/x
  3. Step 3: Cross multiply
    796.42x = 1,195.05 × 379.84
  4. Step 4: Simplify right side
    796.42x = 453,927.79
  5. Step 5: Solve for x
    x = 453,927.79/796.42
  6. Step 6: Final answer
    x = 569.96

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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.