Home / 1,380.08-2,069.40-406.05

Finding the Fourth Proportional to 1,380.08, 2,069.40 and 406.05

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Solution

The fourth proportional to 1,380.08, 2,069.40 and 406.05 is: 608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.08 : 2,069.40 = 406.05 : x
  2. Step 2: Convert to fraction form
    1,380.08/2,069.40 = 406.05/x
  3. Step 3: Cross multiply
    1,380.08x = 2,069.40 × 406.05
  4. Step 4: Simplify right side
    1,380.08x = 840,279.87
  5. Step 5: Solve for x
    x = 840,279.87/1,380.08
  6. Step 6: Final answer
    x = 608.87

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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.