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Finding the Fourth Proportional to 757.95, 1,136.73 and 270.93

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Solution

The fourth proportional to 757.95, 1,136.73 and 270.93 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.95 : 1,136.73 = 270.93 : x
  2. Step 2: Convert to fraction form
    757.95/1,136.73 = 270.93/x
  3. Step 3: Cross multiply
    757.95x = 1,136.73 × 270.93
  4. Step 4: Simplify right side
    757.95x = 307,974.26
  5. Step 5: Solve for x
    x = 307,974.26/757.95
  6. Step 6: Final answer
    x = 406.33

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