Home / 1,380.29-2,070.56-455.83

Finding the Fourth Proportional to 1,380.29, 2,070.56 and 455.83

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Solution

The fourth proportional to 1,380.29, 2,070.56 and 455.83 is: 683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.29 : 2,070.56 = 455.83 : x
  2. Step 2: Convert to fraction form
    1,380.29/2,070.56 = 455.83/x
  3. Step 3: Cross multiply
    1,380.29x = 2,070.56 × 455.83
  4. Step 4: Simplify right side
    1,380.29x = 943,819.33
  5. Step 5: Solve for x
    x = 943,819.33/1,380.29
  6. Step 6: Final answer
    x = 683.78

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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.