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Finding the Fourth Proportional to 594.80, 820.80 and 329.22

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Solution

The fourth proportional to 594.80, 820.80 and 329.22 is: 454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 820.80 = 329.22 : x
  2. Step 2: Convert to fraction form
    594.80/820.80 = 329.22/x
  3. Step 3: Cross multiply
    594.80x = 820.80 × 329.22
  4. Step 4: Simplify right side
    594.80x = 270,222.13
  5. Step 5: Solve for x
    x = 270,222.13/594.80
  6. Step 6: Final answer
    x = 454.31

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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.