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Finding the Fourth Proportional to 1,380.98, 1,907.42 and 1,007.37

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Solution

The fourth proportional to 1,380.98, 1,907.42 and 1,007.37 is: 1,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.98 : 1,907.42 = 1,007.37 : x
  2. Step 2: Convert to fraction form
    1,380.98/1,907.42 = 1,007.37/x
  3. Step 3: Cross multiply
    1,380.98x = 1,907.42 × 1,007.37
  4. Step 4: Simplify right side
    1,380.98x = 1,921,472.65
  5. Step 5: Solve for x
    x = 1,921,472.65/1,380.98
  6. Step 6: Final answer
    x = 1,391.38

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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.