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Finding the Fourth Proportional to 415.85, 628.48 and 408.67

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Solution

The fourth proportional to 415.85, 628.48 and 408.67 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.85 : 628.48 = 408.67 : x
  2. Step 2: Convert to fraction form
    415.85/628.48 = 408.67/x
  3. Step 3: Cross multiply
    415.85x = 628.48 × 408.67
  4. Step 4: Simplify right side
    415.85x = 256,838.88
  5. Step 5: Solve for x
    x = 256,838.88/415.85
  6. Step 6: Final answer
    x = 617.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.