Home / 1,278.58-1,917.46-412.69

Finding the Fourth Proportional to 1,278.58, 1,917.46 and 412.69

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Solution

The fourth proportional to 1,278.58, 1,917.46 and 412.69 is: 618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.58 : 1,917.46 = 412.69 : x
  2. Step 2: Convert to fraction form
    1,278.58/1,917.46 = 412.69/x
  3. Step 3: Cross multiply
    1,278.58x = 1,917.46 × 412.69
  4. Step 4: Simplify right side
    1,278.58x = 791,314.50
  5. Step 5: Solve for x
    x = 791,314.50/1,278.58
  6. Step 6: Final answer
    x = 618.90

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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.