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Finding the Fourth Proportional to 722.51, 1,076.31 and 677.69

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Solution

The fourth proportional to 722.51, 1,076.31 and 677.69 is: 1,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.51 : 1,076.31 = 677.69 : x
  2. Step 2: Convert to fraction form
    722.51/1,076.31 = 677.69/x
  3. Step 3: Cross multiply
    722.51x = 1,076.31 × 677.69
  4. Step 4: Simplify right side
    722.51x = 729,401.27
  5. Step 5: Solve for x
    x = 729,401.27/722.51
  6. Step 6: Final answer
    x = 1,009.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.