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Finding the Fourth Proportional to 578.55, 798.41 and 329.87

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Solution

The fourth proportional to 578.55, 798.41 and 329.87 is: 455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.55 : 798.41 = 329.87 : x
  2. Step 2: Convert to fraction form
    578.55/798.41 = 329.87/x
  3. Step 3: Cross multiply
    578.55x = 798.41 × 329.87
  4. Step 4: Simplify right side
    578.55x = 263,372.47
  5. Step 5: Solve for x
    x = 263,372.47/578.55
  6. Step 6: Final answer
    x = 455.23

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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.