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Finding the Fourth Proportional to 433.90, 598.99 and 329.04

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Solution

The fourth proportional to 433.90, 598.99 and 329.04 is: 454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.90 : 598.99 = 329.04 : x
  2. Step 2: Convert to fraction form
    433.90/598.99 = 329.04/x
  3. Step 3: Cross multiply
    433.90x = 598.99 × 329.04
  4. Step 4: Simplify right side
    433.90x = 197,090.85
  5. Step 5: Solve for x
    x = 197,090.85/433.90
  6. Step 6: Final answer
    x = 454.23

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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.