Home / 1,278.45-1,917.41-456.77

Finding the Fourth Proportional to 1,278.45, 1,917.41 and 456.77

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Solution

The fourth proportional to 1,278.45, 1,917.41 and 456.77 is: 685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.45 : 1,917.41 = 456.77 : x
  2. Step 2: Convert to fraction form
    1,278.45/1,917.41 = 456.77/x
  3. Step 3: Cross multiply
    1,278.45x = 1,917.41 × 456.77
  4. Step 4: Simplify right side
    1,278.45x = 875,817.88
  5. Step 5: Solve for x
    x = 875,817.88/1,278.45
  6. Step 6: Final answer
    x = 685.06

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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.