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Finding the Fourth Proportional to 1,404.25, 2,106.38 and 378.25

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Solution

The fourth proportional to 1,404.25, 2,106.38 and 378.25 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.25 : 2,106.38 = 378.25 : x
  2. Step 2: Convert to fraction form
    1,404.25/2,106.38 = 378.25/x
  3. Step 3: Cross multiply
    1,404.25x = 2,106.38 × 378.25
  4. Step 4: Simplify right side
    1,404.25x = 796,738.24
  5. Step 5: Solve for x
    x = 796,738.24/1,404.25
  6. Step 6: Final answer
    x = 567.38

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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.