Home / 1,285.48-1,928.22-419.77

Finding the Fourth Proportional to 1,285.48, 1,928.22 and 419.77

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Solution

The fourth proportional to 1,285.48, 1,928.22 and 419.77 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.48 : 1,928.22 = 419.77 : x
  2. Step 2: Convert to fraction form
    1,285.48/1,928.22 = 419.77/x
  3. Step 3: Cross multiply
    1,285.48x = 1,928.22 × 419.77
  4. Step 4: Simplify right side
    1,285.48x = 809,408.91
  5. Step 5: Solve for x
    x = 809,408.91/1,285.48
  6. Step 6: Final answer
    x = 629.66

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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.