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Finding the Fourth Proportional to 1,244.36, 1,866.64 and 379.28

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Solution

The fourth proportional to 1,244.36, 1,866.64 and 379.28 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.36 : 1,866.64 = 379.28 : x
  2. Step 2: Convert to fraction form
    1,244.36/1,866.64 = 379.28/x
  3. Step 3: Cross multiply
    1,244.36x = 1,866.64 × 379.28
  4. Step 4: Simplify right side
    1,244.36x = 707,979.22
  5. Step 5: Solve for x
    x = 707,979.22/1,244.36
  6. Step 6: Final answer
    x = 568.95

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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.