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Finding the Fourth Proportional to 845.98, 1,266.29 and 757.94

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Solution

The fourth proportional to 845.98, 1,266.29 and 757.94 is: 1,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.98 : 1,266.29 = 757.94 : x
  2. Step 2: Convert to fraction form
    845.98/1,266.29 = 757.94/x
  3. Step 3: Cross multiply
    845.98x = 1,266.29 × 757.94
  4. Step 4: Simplify right side
    845.98x = 959,770.57
  5. Step 5: Solve for x
    x = 959,770.57/845.98
  6. Step 6: Final answer
    x = 1,134.51

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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.