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Finding the Fourth Proportional to 1,278.48, 1,918.26 and 629.22

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Solution

The fourth proportional to 1,278.48, 1,918.26 and 629.22 is: 944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.48 : 1,918.26 = 629.22 : x
  2. Step 2: Convert to fraction form
    1,278.48/1,918.26 = 629.22/x
  3. Step 3: Cross multiply
    1,278.48x = 1,918.26 × 629.22
  4. Step 4: Simplify right side
    1,278.48x = 1,207,007.56
  5. Step 5: Solve for x
    x = 1,207,007.56/1,278.48
  6. Step 6: Final answer
    x = 944.10

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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.