Home / 1,463.91-2,021.25-905.14

Finding the Fourth Proportional to 1,463.91, 2,021.25 and 905.14

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Solution

The fourth proportional to 1,463.91, 2,021.25 and 905.14 is: 1,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.91 : 2,021.25 = 905.14 : x
  2. Step 2: Convert to fraction form
    1,463.91/2,021.25 = 905.14/x
  3. Step 3: Cross multiply
    1,463.91x = 2,021.25 × 905.14
  4. Step 4: Simplify right side
    1,463.91x = 1,829,514.23
  5. Step 5: Solve for x
    x = 1,829,514.23/1,463.91
  6. Step 6: Final answer
    x = 1,249.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.