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Finding the Fourth Proportional to 2,238.05, 3,357.68 and 677.99

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Solution

The fourth proportional to 2,238.05, 3,357.68 and 677.99 is: 1,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.05 : 3,357.68 = 677.99 : x
  2. Step 2: Convert to fraction form
    2,238.05/3,357.68 = 677.99/x
  3. Step 3: Cross multiply
    2,238.05x = 3,357.68 × 677.99
  4. Step 4: Simplify right side
    2,238.05x = 2,276,453.28
  5. Step 5: Solve for x
    x = 2,276,453.28/2,238.05
  6. Step 6: Final answer
    x = 1,017.16

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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.