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Finding the Fourth Proportional to 1,244.31, 1,866.74 and 378.69

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Solution

The fourth proportional to 1,244.31, 1,866.74 and 378.69 is: 568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.31 : 1,866.74 = 378.69 : x
  2. Step 2: Convert to fraction form
    1,244.31/1,866.74 = 378.69/x
  3. Step 3: Cross multiply
    1,244.31x = 1,866.74 × 378.69
  4. Step 4: Simplify right side
    1,244.31x = 706,913.88
  5. Step 5: Solve for x
    x = 706,913.88/1,244.31
  6. Step 6: Final answer
    x = 568.12

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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.