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Finding the Fourth Proportional to 756.25, 1,134.60 and 323.44

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Solution

The fourth proportional to 756.25, 1,134.60 and 323.44 is: 485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.25 : 1,134.60 = 323.44 : x
  2. Step 2: Convert to fraction form
    756.25/1,134.60 = 323.44/x
  3. Step 3: Cross multiply
    756.25x = 1,134.60 × 323.44
  4. Step 4: Simplify right side
    756.25x = 366,975.02
  5. Step 5: Solve for x
    x = 366,975.02/756.25
  6. Step 6: Final answer
    x = 485.26

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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.