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Finding the Fourth Proportional to 2,005.78, 3,006.36 and 772.57

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Solution

The fourth proportional to 2,005.78, 3,006.36 and 772.57 is: 1,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.78 : 3,006.36 = 772.57 : x
  2. Step 2: Convert to fraction form
    2,005.78/3,006.36 = 772.57/x
  3. Step 3: Cross multiply
    2,005.78x = 3,006.36 × 772.57
  4. Step 4: Simplify right side
    2,005.78x = 2,322,623.55
  5. Step 5: Solve for x
    x = 2,322,623.55/2,005.78
  6. Step 6: Final answer
    x = 1,157.97

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1.5x scale

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.