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Finding the Fourth Proportional to 793.85, 1,190.95 and 306.94

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Solution

The fourth proportional to 793.85, 1,190.95 and 306.94 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,190.95 = 306.94 : x
  2. Step 2: Convert to fraction form
    793.85/1,190.95 = 306.94/x
  3. Step 3: Cross multiply
    793.85x = 1,190.95 × 306.94
  4. Step 4: Simplify right side
    793.85x = 365,550.41
  5. Step 5: Solve for x
    x = 365,550.41/793.85
  6. Step 6: Final answer
    x = 460.48

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1.5x scale

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.