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Finding the Fourth Proportional to 2,228.85, 3,343.32 and 768

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Solution

The fourth proportional to 2,228.85, 3,343.32 and 768 is: 1,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.85 : 3,343.32 = 768 : x
  2. Step 2: Convert to fraction form
    2,228.85/3,343.32 = 768/x
  3. Step 3: Cross multiply
    2,228.85x = 3,343.32 × 768
  4. Step 4: Simplify right side
    2,228.85x = 2,567,669.76
  5. Step 5: Solve for x
    x = 2,567,669.76/2,228.85
  6. Step 6: Final answer
    x = 1,152.02

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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.