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Finding the Fourth Proportional to 433.72, 598.08 and 323.02

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Solution

The fourth proportional to 433.72, 598.08 and 323.02 is: 445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.72 : 598.08 = 323.02 : x
  2. Step 2: Convert to fraction form
    433.72/598.08 = 323.02/x
  3. Step 3: Cross multiply
    433.72x = 598.08 × 323.02
  4. Step 4: Simplify right side
    433.72x = 193,191.80
  5. Step 5: Solve for x
    x = 193,191.80/433.72
  6. Step 6: Final answer
    x = 445.43

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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.