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Finding the Fourth Proportional to 1,414.25, 1,950.49 and 965.36

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Solution

The fourth proportional to 1,414.25, 1,950.49 and 965.36 is: 1,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.25 : 1,950.49 = 965.36 : x
  2. Step 2: Convert to fraction form
    1,414.25/1,950.49 = 965.36/x
  3. Step 3: Cross multiply
    1,414.25x = 1,950.49 × 965.36
  4. Step 4: Simplify right side
    1,414.25x = 1,882,914.17
  5. Step 5: Solve for x
    x = 1,882,914.17/1,414.25
  6. Step 6: Final answer
    x = 1,331.39

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1.5x scale

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.