Home / 1,514.91-2,272.44-419.23

Finding the Fourth Proportional to 1,514.91, 2,272.44 and 419.23

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Solution

The fourth proportional to 1,514.91, 2,272.44 and 419.23 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.91 : 2,272.44 = 419.23 : x
  2. Step 2: Convert to fraction form
    1,514.91/2,272.44 = 419.23/x
  3. Step 3: Cross multiply
    1,514.91x = 2,272.44 × 419.23
  4. Step 4: Simplify right side
    1,514.91x = 952,675.02
  5. Step 5: Solve for x
    x = 952,675.02/1,514.91
  6. Step 6: Final answer
    x = 628.87

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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.