Home / 1,380.14-2,070.40-406.10

Finding the Fourth Proportional to 1,380.14, 2,070.40 and 406.10

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Solution

The fourth proportional to 1,380.14, 2,070.40 and 406.10 is: 609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.14 : 2,070.40 = 406.10 : x
  2. Step 2: Convert to fraction form
    1,380.14/2,070.40 = 406.10/x
  3. Step 3: Cross multiply
    1,380.14x = 2,070.40 × 406.10
  4. Step 4: Simplify right side
    1,380.14x = 840,789.44
  5. Step 5: Solve for x
    x = 840,789.44/1,380.14
  6. Step 6: Final answer
    x = 609.21

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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.