Home / 1,278.72-1,918.01-412.97

Finding the Fourth Proportional to 1,278.72, 1,918.01 and 412.97

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Solution

The fourth proportional to 1,278.72, 1,918.01 and 412.97 is: 619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.72 : 1,918.01 = 412.97 : x
  2. Step 2: Convert to fraction form
    1,278.72/1,918.01 = 412.97/x
  3. Step 3: Cross multiply
    1,278.72x = 1,918.01 × 412.97
  4. Step 4: Simplify right side
    1,278.72x = 792,068.93
  5. Step 5: Solve for x
    x = 792,068.93/1,278.72
  6. Step 6: Final answer
    x = 619.42

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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.