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Finding the Fourth Proportional to 1,448.70, 1,998.91 and 976.06

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Solution

The fourth proportional to 1,448.70, 1,998.91 and 976.06 is: 1,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.70 : 1,998.91 = 976.06 : x
  2. Step 2: Convert to fraction form
    1,448.70/1,998.91 = 976.06/x
  3. Step 3: Cross multiply
    1,448.70x = 1,998.91 × 976.06
  4. Step 4: Simplify right side
    1,448.70x = 1,951,056.09
  5. Step 5: Solve for x
    x = 1,951,056.09/1,448.70
  6. Step 6: Final answer
    x = 1,346.76

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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.