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Finding the Fourth Proportional to 794.23, 1,190.76 and 377.80

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Solution

The fourth proportional to 794.23, 1,190.76 and 377.80 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.23 : 1,190.76 = 377.80 : x
  2. Step 2: Convert to fraction form
    794.23/1,190.76 = 377.80/x
  3. Step 3: Cross multiply
    794.23x = 1,190.76 × 377.80
  4. Step 4: Simplify right side
    794.23x = 449,869.13
  5. Step 5: Solve for x
    x = 449,869.13/794.23
  6. Step 6: Final answer
    x = 566.42

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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.