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Finding the Fourth Proportional to 1,274.36, 1,911.54 and 409.28

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Solution

The fourth proportional to 1,274.36, 1,911.54 and 409.28 is: 613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.36 : 1,911.54 = 409.28 : x
  2. Step 2: Convert to fraction form
    1,274.36/1,911.54 = 409.28/x
  3. Step 3: Cross multiply
    1,274.36x = 1,911.54 × 409.28
  4. Step 4: Simplify right side
    1,274.36x = 782,355.09
  5. Step 5: Solve for x
    x = 782,355.09/1,274.36
  6. Step 6: Final answer
    x = 613.92

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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.