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Finding the Fourth Proportional to 578.59, 798.43 and 329.99

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Solution

The fourth proportional to 578.59, 798.43 and 329.99 is: 455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.59 : 798.43 = 329.99 : x
  2. Step 2: Convert to fraction form
    578.59/798.43 = 329.99/x
  3. Step 3: Cross multiply
    578.59x = 798.43 × 329.99
  4. Step 4: Simplify right side
    578.59x = 263,473.06
  5. Step 5: Solve for x
    x = 263,473.06/578.59
  6. Step 6: Final answer
    x = 455.37

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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.