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Finding the Fourth Proportional to 578.57, 798.34 and 329.84

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Solution

The fourth proportional to 578.57, 798.34 and 329.84 is: 455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.57 : 798.34 = 329.84 : x
  2. Step 2: Convert to fraction form
    578.57/798.34 = 329.84/x
  3. Step 3: Cross multiply
    578.57x = 798.34 × 329.84
  4. Step 4: Simplify right side
    578.57x = 263,324.47
  5. Step 5: Solve for x
    x = 263,324.47/578.57
  6. Step 6: Final answer
    x = 455.13

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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.