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Finding the Fourth Proportional to 645.45, 967.97 and 371.67

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Solution

The fourth proportional to 645.45, 967.97 and 371.67 is: 557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 967.97 = 371.67 : x
  2. Step 2: Convert to fraction form
    645.45/967.97 = 371.67/x
  3. Step 3: Cross multiply
    645.45x = 967.97 × 371.67
  4. Step 4: Simplify right side
    645.45x = 359,766.34
  5. Step 5: Solve for x
    x = 359,766.34/645.45
  6. Step 6: Final answer
    x = 557.39

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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.