Home / 1,278.48-1,917.28-412.60

Finding the Fourth Proportional to 1,278.48, 1,917.28 and 412.60

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Solution

The fourth proportional to 1,278.48, 1,917.28 and 412.60 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.48 : 1,917.28 = 412.60 : x
  2. Step 2: Convert to fraction form
    1,278.48/1,917.28 = 412.60/x
  3. Step 3: Cross multiply
    1,278.48x = 1,917.28 × 412.60
  4. Step 4: Simplify right side
    1,278.48x = 791,069.73
  5. Step 5: Solve for x
    x = 791,069.73/1,278.48
  6. Step 6: Final answer
    x = 618.76

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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.