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Finding the Fourth Proportional to 578, 797.67 and 329.33

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Solution

The fourth proportional to 578, 797.67 and 329.33 is: 454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578 : 797.67 = 329.33 : x
  2. Step 2: Convert to fraction form
    578/797.67 = 329.33/x
  3. Step 3: Cross multiply
    578x = 797.67 × 329.33
  4. Step 4: Simplify right side
    578x = 262,696.66
  5. Step 5: Solve for x
    x = 262,696.66/578
  6. Step 6: Final answer
    x = 454.49

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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.