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Finding the Fourth Proportional to 578.06, 797.72 and 329.38

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Solution

The fourth proportional to 578.06, 797.72 and 329.38 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.06 : 797.72 = 329.38 : x
  2. Step 2: Convert to fraction form
    578.06/797.72 = 329.38/x
  3. Step 3: Cross multiply
    578.06x = 797.72 × 329.38
  4. Step 4: Simplify right side
    578.06x = 262,753.01
  5. Step 5: Solve for x
    x = 262,753.01/578.06
  6. Step 6: Final answer
    x = 454.54

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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.