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Finding the Fourth Proportional to 578.60, 798.45 and 329.90

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Solution

The fourth proportional to 578.60, 798.45 and 329.90 is: 455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.60 : 798.45 = 329.90 : x
  2. Step 2: Convert to fraction form
    578.60/798.45 = 329.90/x
  3. Step 3: Cross multiply
    578.60x = 798.45 × 329.90
  4. Step 4: Simplify right side
    578.60x = 263,412.35
  5. Step 5: Solve for x
    x = 263,412.35/578.60
  6. Step 6: Final answer
    x = 455.26

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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.