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Finding the Fourth Proportional to 961.60, 1,441.44 and 475.34

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Solution

The fourth proportional to 961.60, 1,441.44 and 475.34 is: 712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.60 : 1,441.44 = 475.34 : x
  2. Step 2: Convert to fraction form
    961.60/1,441.44 = 475.34/x
  3. Step 3: Cross multiply
    961.60x = 1,441.44 × 475.34
  4. Step 4: Simplify right side
    961.60x = 685,174.09
  5. Step 5: Solve for x
    x = 685,174.09/961.60
  6. Step 6: Final answer
    x = 712.54

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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.