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Finding the Fourth Proportional to 2,715.53, 4,072.77 and 767.25

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Solution

The fourth proportional to 2,715.53, 4,072.77 and 767.25 is: 1,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.53 : 4,072.77 = 767.25 : x
  2. Step 2: Convert to fraction form
    2,715.53/4,072.77 = 767.25/x
  3. Step 3: Cross multiply
    2,715.53x = 4,072.77 × 767.25
  4. Step 4: Simplify right side
    2,715.53x = 3,124,832.78
  5. Step 5: Solve for x
    x = 3,124,832.78/2,715.53
  6. Step 6: Final answer
    x = 1,150.73

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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.