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Finding the Fourth Proportional to 682.04, 940.46 and 666.96

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Solution

The fourth proportional to 682.04, 940.46 and 666.96 is: 919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 940.46 = 666.96 : x
  2. Step 2: Convert to fraction form
    682.04/940.46 = 666.96/x
  3. Step 3: Cross multiply
    682.04x = 940.46 × 666.96
  4. Step 4: Simplify right side
    682.04x = 627,245.87
  5. Step 5: Solve for x
    x = 627,245.87/682.04
  6. Step 6: Final answer
    x = 919.67

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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.