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Finding the Fourth Proportional to 505.43, 756.30 and 331.83

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Solution

The fourth proportional to 505.43, 756.30 and 331.83 is: 496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.43 : 756.30 = 331.83 : x
  2. Step 2: Convert to fraction form
    505.43/756.30 = 331.83/x
  3. Step 3: Cross multiply
    505.43x = 756.30 × 331.83
  4. Step 4: Simplify right side
    505.43x = 250,963.03
  5. Step 5: Solve for x
    x = 250,963.03/505.43
  6. Step 6: Final answer
    x = 496.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.