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Finding the Fourth Proportional to 1,414.81, 2,123.51 and 721.97

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Solution

The fourth proportional to 1,414.81, 2,123.51 and 721.97 is: 1,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.81 : 2,123.51 = 721.97 : x
  2. Step 2: Convert to fraction form
    1,414.81/2,123.51 = 721.97/x
  3. Step 3: Cross multiply
    1,414.81x = 2,123.51 × 721.97
  4. Step 4: Simplify right side
    1,414.81x = 1,533,110.51
  5. Step 5: Solve for x
    x = 1,533,110.51/1,414.81
  6. Step 6: Final answer
    x = 1,083.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.