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Finding the Fourth Proportional to 656.75, 982.69 and 412.13

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Solution

The fourth proportional to 656.75, 982.69 and 412.13 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.75 : 982.69 = 412.13 : x
  2. Step 2: Convert to fraction form
    656.75/982.69 = 412.13/x
  3. Step 3: Cross multiply
    656.75x = 982.69 × 412.13
  4. Step 4: Simplify right side
    656.75x = 404,997.46
  5. Step 5: Solve for x
    x = 404,997.46/656.75
  6. Step 6: Final answer
    x = 616.67

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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.