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Finding the Fourth Proportional to 1,716.44, 2,368.68 and 930.49

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Solution

The fourth proportional to 1,716.44, 2,368.68 and 930.49 is: 1,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.44 : 2,368.68 = 930.49 : x
  2. Step 2: Convert to fraction form
    1,716.44/2,368.68 = 930.49/x
  3. Step 3: Cross multiply
    1,716.44x = 2,368.68 × 930.49
  4. Step 4: Simplify right side
    1,716.44x = 2,204,033.05
  5. Step 5: Solve for x
    x = 2,204,033.05/1,716.44
  6. Step 6: Final answer
    x = 1,284.07

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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.