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Finding the Fourth Proportional to 1,378.53, 2,067.80 and 405.32

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Solution

The fourth proportional to 1,378.53, 2,067.80 and 405.32 is: 607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.53 : 2,067.80 = 405.32 : x
  2. Step 2: Convert to fraction form
    1,378.53/2,067.80 = 405.32/x
  3. Step 3: Cross multiply
    1,378.53x = 2,067.80 × 405.32
  4. Step 4: Simplify right side
    1,378.53x = 838,108.33
  5. Step 5: Solve for x
    x = 838,108.33/1,378.53
  6. Step 6: Final answer
    x = 607.97

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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.