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Finding the Fourth Proportional to 759.75, 1,136.76 and 718.05

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Solution

The fourth proportional to 759.75, 1,136.76 and 718.05 is: 1,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.75 : 1,136.76 = 718.05 : x
  2. Step 2: Convert to fraction form
    759.75/1,136.76 = 718.05/x
  3. Step 3: Cross multiply
    759.75x = 1,136.76 × 718.05
  4. Step 4: Simplify right side
    759.75x = 816,250.52
  5. Step 5: Solve for x
    x = 816,250.52/759.75
  6. Step 6: Final answer
    x = 1,074.37

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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.