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Finding the Fourth Proportional to 1,404.24, 2,106.12 and 378

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Solution

The fourth proportional to 1,404.24, 2,106.12 and 378 is: 566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.24 : 2,106.12 = 378 : x
  2. Step 2: Convert to fraction form
    1,404.24/2,106.12 = 378/x
  3. Step 3: Cross multiply
    1,404.24x = 2,106.12 × 378
  4. Step 4: Simplify right side
    1,404.24x = 796,113.36
  5. Step 5: Solve for x
    x = 796,113.36/1,404.24
  6. Step 6: Final answer
    x = 566.94

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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.