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Finding the Fourth Proportional to 644.76, 967.38 and 274.66

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Solution

The fourth proportional to 644.76, 967.38 and 274.66 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 967.38 = 274.66 : x
  2. Step 2: Convert to fraction form
    644.76/967.38 = 274.66/x
  3. Step 3: Cross multiply
    644.76x = 967.38 × 274.66
  4. Step 4: Simplify right side
    644.76x = 265,697.14
  5. Step 5: Solve for x
    x = 265,697.14/644.76
  6. Step 6: Final answer
    x = 412.09

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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.