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Finding the Fourth Proportional to 578.06, 796.78 and 451.80

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Solution

The fourth proportional to 578.06, 796.78 and 451.80 is: 622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 796.78 = 451.80 : x
  2. Step 2: Convert to fraction form
    578.06/796.78 = 451.80/x
  3. Step 3: Cross multiply
    578.06x = 796.78 × 451.80
  4. Step 4: Simplify right side
    578.06x = 359,986.19
  5. Step 5: Solve for x
    x = 359,986.19/578.06
  6. Step 6: Final answer
    x = 622.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.