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Finding the Fourth Proportional to 1,278.35, 1,918.23 and 629.09

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Solution

The fourth proportional to 1,278.35, 1,918.23 and 629.09 is: 943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.35 : 1,918.23 = 629.09 : x
  2. Step 2: Convert to fraction form
    1,278.35/1,918.23 = 629.09/x
  3. Step 3: Cross multiply
    1,278.35x = 1,918.23 × 629.09
  4. Step 4: Simplify right side
    1,278.35x = 1,206,739.31
  5. Step 5: Solve for x
    x = 1,206,739.31/1,278.35
  6. Step 6: Final answer
    x = 943.98

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1.5x scale

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.