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Finding the Fourth Proportional to 1,243.78, 1,865.36 and 378.08

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Solution

The fourth proportional to 1,243.78, 1,865.36 and 378.08 is: 567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.78 : 1,865.36 = 378.08 : x
  2. Step 2: Convert to fraction form
    1,243.78/1,865.36 = 378.08/x
  3. Step 3: Cross multiply
    1,243.78x = 1,865.36 × 378.08
  4. Step 4: Simplify right side
    1,243.78x = 705,255.31
  5. Step 5: Solve for x
    x = 705,255.31/1,243.78
  6. Step 6: Final answer
    x = 567.03

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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.