Home / 1,471.26-2,206.81-431.22

Finding the Fourth Proportional to 1,471.26, 2,206.81 and 431.22

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Solution

The fourth proportional to 1,471.26, 2,206.81 and 431.22 is: 646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.26 : 2,206.81 = 431.22 : x
  2. Step 2: Convert to fraction form
    1,471.26/2,206.81 = 431.22/x
  3. Step 3: Cross multiply
    1,471.26x = 2,206.81 × 431.22
  4. Step 4: Simplify right side
    1,471.26x = 951,620.61
  5. Step 5: Solve for x
    x = 951,620.61/1,471.26
  6. Step 6: Final answer
    x = 646.81

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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.