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Finding the Fourth Proportional to 656.22, 982.20 and 482.85

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Solution

The fourth proportional to 656.22, 982.20 and 482.85 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 982.20 = 482.85 : x
  2. Step 2: Convert to fraction form
    656.22/982.20 = 482.85/x
  3. Step 3: Cross multiply
    656.22x = 982.20 × 482.85
  4. Step 4: Simplify right side
    656.22x = 474,255.27
  5. Step 5: Solve for x
    x = 474,255.27/656.22
  6. Step 6: Final answer
    x = 722.71

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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.