Home / 1,278.24-1,917.38-412.55

Finding the Fourth Proportional to 1,278.24, 1,917.38 and 412.55

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Solution

The fourth proportional to 1,278.24, 1,917.38 and 412.55 is: 618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.24 : 1,917.38 = 412.55 : x
  2. Step 2: Convert to fraction form
    1,278.24/1,917.38 = 412.55/x
  3. Step 3: Cross multiply
    1,278.24x = 1,917.38 × 412.55
  4. Step 4: Simplify right side
    1,278.24x = 791,013.06
  5. Step 5: Solve for x
    x = 791,013.06/1,278.24
  6. Step 6: Final answer
    x = 618.83

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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.