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Finding the Fourth Proportional to 1,380.44, 1,903.77 and 908.01

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Solution

The fourth proportional to 1,380.44, 1,903.77 and 908.01 is: 1,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.44 : 1,903.77 = 908.01 : x
  2. Step 2: Convert to fraction form
    1,380.44/1,903.77 = 908.01/x
  3. Step 3: Cross multiply
    1,380.44x = 1,903.77 × 908.01
  4. Step 4: Simplify right side
    1,380.44x = 1,728,642.20
  5. Step 5: Solve for x
    x = 1,728,642.20/1,380.44
  6. Step 6: Final answer
    x = 1,252.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.