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Finding the Fourth Proportional to 1,244.26, 1,866.46 and 378.58

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Solution

The fourth proportional to 1,244.26, 1,866.46 and 378.58 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.26 : 1,866.46 = 378.58 : x
  2. Step 2: Convert to fraction form
    1,244.26/1,866.46 = 378.58/x
  3. Step 3: Cross multiply
    1,244.26x = 1,866.46 × 378.58
  4. Step 4: Simplify right side
    1,244.26x = 706,604.43
  5. Step 5: Solve for x
    x = 706,604.43/1,244.26
  6. Step 6: Final answer
    x = 567.89

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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.