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Finding the Fourth Proportional to 1,382.26, 1,907.50 and 761.26

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Solution

The fourth proportional to 1,382.26, 1,907.50 and 761.26 is: 1,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.26 : 1,907.50 = 761.26 : x
  2. Step 2: Convert to fraction form
    1,382.26/1,907.50 = 761.26/x
  3. Step 3: Cross multiply
    1,382.26x = 1,907.50 × 761.26
  4. Step 4: Simplify right side
    1,382.26x = 1,452,103.45
  5. Step 5: Solve for x
    x = 1,452,103.45/1,382.26
  6. Step 6: Final answer
    x = 1,050.53

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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.