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Finding the Fourth Proportional to 773.31, 1,161.33 and 700.41

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Solution

The fourth proportional to 773.31, 1,161.33 and 700.41 is: 1,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.31 : 1,161.33 = 700.41 : x
  2. Step 2: Convert to fraction form
    773.31/1,161.33 = 700.41/x
  3. Step 3: Cross multiply
    773.31x = 1,161.33 × 700.41
  4. Step 4: Simplify right side
    773.31x = 813,407.15
  5. Step 5: Solve for x
    x = 813,407.15/773.31
  6. Step 6: Final answer
    x = 1,051.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.