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Finding the Fourth Proportional to 505.52, 759.50 and 323.27

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Solution

The fourth proportional to 505.52, 759.50 and 323.27 is: 485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 759.50 = 323.27 : x
  2. Step 2: Convert to fraction form
    505.52/759.50 = 323.27/x
  3. Step 3: Cross multiply
    505.52x = 759.50 × 323.27
  4. Step 4: Simplify right side
    505.52x = 245,518.15
  5. Step 5: Solve for x
    x = 245,518.15/505.52
  6. Step 6: Final answer
    x = 485.68

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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.