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Finding the Fourth Proportional to 561.14, 771.72 and 450.44

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Solution

The fourth proportional to 561.14, 771.72 and 450.44 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.14 : 771.72 = 450.44 : x
  2. Step 2: Convert to fraction form
    561.14/771.72 = 450.44/x
  3. Step 3: Cross multiply
    561.14x = 771.72 × 450.44
  4. Step 4: Simplify right side
    561.14x = 347,613.56
  5. Step 5: Solve for x
    x = 347,613.56/561.14
  6. Step 6: Final answer
    x = 619.48

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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.