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Finding the Fourth Proportional to 2,238.25, 3,357.39 and 678.25

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Solution

The fourth proportional to 2,238.25, 3,357.39 and 678.25 is: 1,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.25 : 3,357.39 = 678.25 : x
  2. Step 2: Convert to fraction form
    2,238.25/3,357.39 = 678.25/x
  3. Step 3: Cross multiply
    2,238.25x = 3,357.39 × 678.25
  4. Step 4: Simplify right side
    2,238.25x = 2,277,149.77
  5. Step 5: Solve for x
    x = 2,277,149.77/2,238.25
  6. Step 6: Final answer
    x = 1,017.38

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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.