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Finding the Fourth Proportional to 1,277.94, 1,916.07 and 455.79

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Solution

The fourth proportional to 1,277.94, 1,916.07 and 455.79 is: 683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.94 : 1,916.07 = 455.79 : x
  2. Step 2: Convert to fraction form
    1,277.94/1,916.07 = 455.79/x
  3. Step 3: Cross multiply
    1,277.94x = 1,916.07 × 455.79
  4. Step 4: Simplify right side
    1,277.94x = 873,325.55
  5. Step 5: Solve for x
    x = 873,325.55/1,277.94
  6. Step 6: Final answer
    x = 683.39

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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.