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Finding the Fourth Proportional to 757.94, 1,136.88 and 712.85

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Solution

The fourth proportional to 757.94, 1,136.88 and 712.85 is: 1,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.94 : 1,136.88 = 712.85 : x
  2. Step 2: Convert to fraction form
    757.94/1,136.88 = 712.85/x
  3. Step 3: Cross multiply
    757.94x = 1,136.88 × 712.85
  4. Step 4: Simplify right side
    757.94x = 810,419.22
  5. Step 5: Solve for x
    x = 810,419.22/757.94
  6. Step 6: Final answer
    x = 1,069.25

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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.