Home / 1,278.24-1,917.12-400.61

Finding the Fourth Proportional to 1,278.24, 1,917.12 and 400.61

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Solution

The fourth proportional to 1,278.24, 1,917.12 and 400.61 is: 600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.24 : 1,917.12 = 400.61 : x
  2. Step 2: Convert to fraction form
    1,278.24/1,917.12 = 400.61/x
  3. Step 3: Cross multiply
    1,278.24x = 1,917.12 × 400.61
  4. Step 4: Simplify right side
    1,278.24x = 768,017.44
  5. Step 5: Solve for x
    x = 768,017.44/1,278.24
  6. Step 6: Final answer
    x = 600.84

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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.