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Finding the Fourth Proportional to 1,664.28, 2,295.96 and 965.28

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Solution

The fourth proportional to 1,664.28, 2,295.96 and 965.28 is: 1,331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.28 : 2,295.96 = 965.28 : x
  2. Step 2: Convert to fraction form
    1,664.28/2,295.96 = 965.28/x
  3. Step 3: Cross multiply
    1,664.28x = 2,295.96 × 965.28
  4. Step 4: Simplify right side
    1,664.28x = 2,216,244.27
  5. Step 5: Solve for x
    x = 2,216,244.27/1,664.28
  6. Step 6: Final answer
    x = 1,331.65

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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.