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Finding the Fourth Proportional to 2,238.83, 3,358.28 and 678.85

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Solution

The fourth proportional to 2,238.83, 3,358.28 and 678.85 is: 1,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.83 : 3,358.28 = 678.85 : x
  2. Step 2: Convert to fraction form
    2,238.83/3,358.28 = 678.85/x
  3. Step 3: Cross multiply
    2,238.83x = 3,358.28 × 678.85
  4. Step 4: Simplify right side
    2,238.83x = 2,279,768.38
  5. Step 5: Solve for x
    x = 2,279,768.38/2,238.83
  6. Step 6: Final answer
    x = 1,018.29

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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.