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Finding the Fourth Proportional to 644.81, 967.09 and 182.47

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Solution

The fourth proportional to 644.81, 967.09 and 182.47 is: 273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.81 : 967.09 = 182.47 : x
  2. Step 2: Convert to fraction form
    644.81/967.09 = 182.47/x
  3. Step 3: Cross multiply
    644.81x = 967.09 × 182.47
  4. Step 4: Simplify right side
    644.81x = 176,464.91
  5. Step 5: Solve for x
    x = 176,464.91/644.81
  6. Step 6: Final answer
    x = 273.67

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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.