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Finding the Fourth Proportional to 512.76, 773.49 and 511.68

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Solution

The fourth proportional to 512.76, 773.49 and 511.68 is: 771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 773.49 = 511.68 : x
  2. Step 2: Convert to fraction form
    512.76/773.49 = 511.68/x
  3. Step 3: Cross multiply
    512.76x = 773.49 × 511.68
  4. Step 4: Simplify right side
    512.76x = 395,779.36
  5. Step 5: Solve for x
    x = 395,779.36/512.76
  6. Step 6: Final answer
    x = 771.86

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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.