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Finding the Fourth Proportional to 578.42, 798.18 and 329.78

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Solution

The fourth proportional to 578.42, 798.18 and 329.78 is: 455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.42 : 798.18 = 329.78 : x
  2. Step 2: Convert to fraction form
    578.42/798.18 = 329.78/x
  3. Step 3: Cross multiply
    578.42x = 798.18 × 329.78
  4. Step 4: Simplify right side
    578.42x = 263,223.80
  5. Step 5: Solve for x
    x = 263,223.80/578.42
  6. Step 6: Final answer
    x = 455.07

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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.