Home / 1,380.32-2,069.94-406.16

Finding the Fourth Proportional to 1,380.32, 2,069.94 and 406.16

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Solution

The fourth proportional to 1,380.32, 2,069.94 and 406.16 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.32 : 2,069.94 = 406.16 : x
  2. Step 2: Convert to fraction form
    1,380.32/2,069.94 = 406.16/x
  3. Step 3: Cross multiply
    1,380.32x = 2,069.94 × 406.16
  4. Step 4: Simplify right side
    1,380.32x = 840,726.83
  5. Step 5: Solve for x
    x = 840,726.83/1,380.32
  6. Step 6: Final answer
    x = 609.08

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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.