Home / 1,354.14-2,031.26-380.24

Finding the Fourth Proportional to 1,354.14, 2,031.26 and 380.24

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Solution

The fourth proportional to 1,354.14, 2,031.26 and 380.24 is: 570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.14 : 2,031.26 = 380.24 : x
  2. Step 2: Convert to fraction form
    1,354.14/2,031.26 = 380.24/x
  3. Step 3: Cross multiply
    1,354.14x = 2,031.26 × 380.24
  4. Step 4: Simplify right side
    1,354.14x = 772,354.24
  5. Step 5: Solve for x
    x = 772,354.24/1,354.14
  6. Step 6: Final answer
    x = 570.37

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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.