Home / 1,431.24-2,146.77-457.26

Finding the Fourth Proportional to 1,431.24, 2,146.77 and 457.26

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Solution

The fourth proportional to 1,431.24, 2,146.77 and 457.26 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.24 : 2,146.77 = 457.26 : x
  2. Step 2: Convert to fraction form
    1,431.24/2,146.77 = 457.26/x
  3. Step 3: Cross multiply
    1,431.24x = 2,146.77 × 457.26
  4. Step 4: Simplify right side
    1,431.24x = 981,632.05
  5. Step 5: Solve for x
    x = 981,632.05/1,431.24
  6. Step 6: Final answer
    x = 685.86

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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.