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Finding the Fourth Proportional to 1,380.88, 2,071.38 and 406.99

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Solution

The fourth proportional to 1,380.88, 2,071.38 and 406.99 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.88 : 2,071.38 = 406.99 : x
  2. Step 2: Convert to fraction form
    1,380.88/2,071.38 = 406.99/x
  3. Step 3: Cross multiply
    1,380.88x = 2,071.38 × 406.99
  4. Step 4: Simplify right side
    1,380.88x = 843,030.95
  5. Step 5: Solve for x
    x = 843,030.95/1,380.88
  6. Step 6: Final answer
    x = 610.50

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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.