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Finding the Fourth Proportional to 756.39, 1,134.55 and 323.52

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Solution

The fourth proportional to 756.39, 1,134.55 and 323.52 is: 485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.39 : 1,134.55 = 323.52 : x
  2. Step 2: Convert to fraction form
    756.39/1,134.55 = 323.52/x
  3. Step 3: Cross multiply
    756.39x = 1,134.55 × 323.52
  4. Step 4: Simplify right side
    756.39x = 367,049.62
  5. Step 5: Solve for x
    x = 367,049.62/756.39
  6. Step 6: Final answer
    x = 485.27

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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.