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Finding the Fourth Proportional to 2,256.77, 3,384.31 and 775.57

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Solution

The fourth proportional to 2,256.77, 3,384.31 and 775.57 is: 1,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.77 : 3,384.31 = 775.57 : x
  2. Step 2: Convert to fraction form
    2,256.77/3,384.31 = 775.57/x
  3. Step 3: Cross multiply
    2,256.77x = 3,384.31 × 775.57
  4. Step 4: Simplify right side
    2,256.77x = 2,624,758.91
  5. Step 5: Solve for x
    x = 2,624,758.91/2,256.77
  6. Step 6: Final answer
    x = 1,163.06

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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.