Home / 1,285.70-1,927.26-419.42

Finding the Fourth Proportional to 1,285.70, 1,927.26 and 419.42

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Solution

The fourth proportional to 1,285.70, 1,927.26 and 419.42 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.70 : 1,927.26 = 419.42 : x
  2. Step 2: Convert to fraction form
    1,285.70/1,927.26 = 419.42/x
  3. Step 3: Cross multiply
    1,285.70x = 1,927.26 × 419.42
  4. Step 4: Simplify right side
    1,285.70x = 808,331.39
  5. Step 5: Solve for x
    x = 808,331.39/1,285.70
  6. Step 6: Final answer
    x = 628.71

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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.