Home / 1,354.25-2,031.14-380.09

Finding the Fourth Proportional to 1,354.25, 2,031.14 and 380.09

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Solution

The fourth proportional to 1,354.25, 2,031.14 and 380.09 is: 570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.25 : 2,031.14 = 380.09 : x
  2. Step 2: Convert to fraction form
    1,354.25/2,031.14 = 380.09/x
  3. Step 3: Cross multiply
    1,354.25x = 2,031.14 × 380.09
  4. Step 4: Simplify right side
    1,354.25x = 772,022.03
  5. Step 5: Solve for x
    x = 772,022.03/1,354.25
  6. Step 6: Final answer
    x = 570.07

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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.