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Finding the Fourth Proportional to 1,380, 2,070.33 and 406.09

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Solution

The fourth proportional to 1,380, 2,070.33 and 406.09 is: 609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380 : 2,070.33 = 406.09 : x
  2. Step 2: Convert to fraction form
    1,380/2,070.33 = 406.09/x
  3. Step 3: Cross multiply
    1,380x = 2,070.33 × 406.09
  4. Step 4: Simplify right side
    1,380x = 840,740.31
  5. Step 5: Solve for x
    x = 840,740.31/1,380
  6. Step 6: Final answer
    x = 609.23

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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.