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Finding the Fourth Proportional to 772.82, 1,067.01 and 511.58

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Solution

The fourth proportional to 772.82, 1,067.01 and 511.58 is: 706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.82 : 1,067.01 = 511.58 : x
  2. Step 2: Convert to fraction form
    772.82/1,067.01 = 511.58/x
  3. Step 3: Cross multiply
    772.82x = 1,067.01 × 511.58
  4. Step 4: Simplify right side
    772.82x = 545,860.98
  5. Step 5: Solve for x
    x = 545,860.98/772.82
  6. Step 6: Final answer
    x = 706.32

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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.