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Finding the Fourth Proportional to 647, 892.72 and 367.21

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Solution

The fourth proportional to 647, 892.72 and 367.21 is: 506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647 : 892.72 = 367.21 : x
  2. Step 2: Convert to fraction form
    647/892.72 = 367.21/x
  3. Step 3: Cross multiply
    647x = 892.72 × 367.21
  4. Step 4: Simplify right side
    647x = 327,815.71
  5. Step 5: Solve for x
    x = 327,815.71/647
  6. Step 6: Final answer
    x = 506.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.