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Finding the Fourth Proportional to 1,277.64, 1,916.73 and 411.75

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Solution

The fourth proportional to 1,277.64, 1,916.73 and 411.75 is: 617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.64 : 1,916.73 = 411.75 : x
  2. Step 2: Convert to fraction form
    1,277.64/1,916.73 = 411.75/x
  3. Step 3: Cross multiply
    1,277.64x = 1,916.73 × 411.75
  4. Step 4: Simplify right side
    1,277.64x = 789,213.58
  5. Step 5: Solve for x
    x = 789,213.58/1,277.64
  6. Step 6: Final answer
    x = 617.71

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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.