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Finding the Fourth Proportional to 664.35, 914.87 and 622.09

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Solution

The fourth proportional to 664.35, 914.87 and 622.09 is: 856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.35 : 914.87 = 622.09 : x
  2. Step 2: Convert to fraction form
    664.35/914.87 = 622.09/x
  3. Step 3: Cross multiply
    664.35x = 914.87 × 622.09
  4. Step 4: Simplify right side
    664.35x = 569,131.48
  5. Step 5: Solve for x
    x = 569,131.48/664.35
  6. Step 6: Final answer
    x = 856.67

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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.