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Finding the Fourth Proportional to 1,278.58, 1,916.43 and 629.77

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Solution

The fourth proportional to 1,278.58, 1,916.43 and 629.77 is: 943.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.58 : 1,916.43 = 629.77 : x
  2. Step 2: Convert to fraction form
    1,278.58/1,916.43 = 629.77/x
  3. Step 3: Cross multiply
    1,278.58x = 1,916.43 × 629.77
  4. Step 4: Simplify right side
    1,278.58x = 1,206,910.12
  5. Step 5: Solve for x
    x = 1,206,910.12/1,278.58
  6. Step 6: Final answer
    x = 943.95

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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.