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Finding the Fourth Proportional to 511.56, 771.03 and 440.28

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Solution

The fourth proportional to 511.56, 771.03 and 440.28 is: 663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 771.03 = 440.28 : x
  2. Step 2: Convert to fraction form
    511.56/771.03 = 440.28/x
  3. Step 3: Cross multiply
    511.56x = 771.03 × 440.28
  4. Step 4: Simplify right side
    511.56x = 339,469.09
  5. Step 5: Solve for x
    x = 339,469.09/511.56
  6. Step 6: Final answer
    x = 663.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.