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Finding the Fourth Proportional to 773.89, 1,067.48 and 511.99

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Solution

The fourth proportional to 773.89, 1,067.48 and 511.99 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.89 : 1,067.48 = 511.99 : x
  2. Step 2: Convert to fraction form
    773.89/1,067.48 = 511.99/x
  3. Step 3: Cross multiply
    773.89x = 1,067.48 × 511.99
  4. Step 4: Simplify right side
    773.89x = 546,535.78
  5. Step 5: Solve for x
    x = 546,535.78/773.89
  6. Step 6: Final answer
    x = 706.22

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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.