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Finding the Fourth Proportional to 1,379.31, 2,069.28 and 405.48

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Solution

The fourth proportional to 1,379.31, 2,069.28 and 405.48 is: 608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.31 : 2,069.28 = 405.48 : x
  2. Step 2: Convert to fraction form
    1,379.31/2,069.28 = 405.48/x
  3. Step 3: Cross multiply
    1,379.31x = 2,069.28 × 405.48
  4. Step 4: Simplify right side
    1,379.31x = 839,059.41
  5. Step 5: Solve for x
    x = 839,059.41/1,379.31
  6. Step 6: Final answer
    x = 608.32

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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.