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Finding the Fourth Proportional to 1,277.63, 1,916.31 and 444.54

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Solution

The fourth proportional to 1,277.63, 1,916.31 and 444.54 is: 666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.63 : 1,916.31 = 444.54 : x
  2. Step 2: Convert to fraction form
    1,277.63/1,916.31 = 444.54/x
  3. Step 3: Cross multiply
    1,277.63x = 1,916.31 × 444.54
  4. Step 4: Simplify right side
    1,277.63x = 851,882.80
  5. Step 5: Solve for x
    x = 851,882.80/1,277.63
  6. Step 6: Final answer
    x = 666.77

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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.