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Finding the Fourth Proportional to 578.51, 797.97 and 329.77

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Solution

The fourth proportional to 578.51, 797.97 and 329.77 is: 454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.51 : 797.97 = 329.77 : x
  2. Step 2: Convert to fraction form
    578.51/797.97 = 329.77/x
  3. Step 3: Cross multiply
    578.51x = 797.97 × 329.77
  4. Step 4: Simplify right side
    578.51x = 263,144.92
  5. Step 5: Solve for x
    x = 263,144.92/578.51
  6. Step 6: Final answer
    x = 454.87

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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.