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Finding the Fourth Proportional to 513.24, 771.47 and 445.60

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Solution

The fourth proportional to 513.24, 771.47 and 445.60 is: 669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 771.47 = 445.60 : x
  2. Step 2: Convert to fraction form
    513.24/771.47 = 445.60/x
  3. Step 3: Cross multiply
    513.24x = 771.47 × 445.60
  4. Step 4: Simplify right side
    513.24x = 343,769.95
  5. Step 5: Solve for x
    x = 343,769.95/513.24
  6. Step 6: Final answer
    x = 669.81

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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.