Home / 1,446.05-1,996.14-974.23

Finding the Fourth Proportional to 1,446.05, 1,996.14 and 974.23

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Solution

The fourth proportional to 1,446.05, 1,996.14 and 974.23 is: 1,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.05 : 1,996.14 = 974.23 : x
  2. Step 2: Convert to fraction form
    1,446.05/1,996.14 = 974.23/x
  3. Step 3: Cross multiply
    1,446.05x = 1,996.14 × 974.23
  4. Step 4: Simplify right side
    1,446.05x = 1,944,698.14
  5. Step 5: Solve for x
    x = 1,944,698.14/1,446.05
  6. Step 6: Final answer
    x = 1,344.83

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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.