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Finding the Fourth Proportional to 1,971.97, 2,958.26 and 585.52

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Solution

The fourth proportional to 1,971.97, 2,958.26 and 585.52 is: 878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.97 : 2,958.26 = 585.52 : x
  2. Step 2: Convert to fraction form
    1,971.97/2,958.26 = 585.52/x
  3. Step 3: Cross multiply
    1,971.97x = 2,958.26 × 585.52
  4. Step 4: Simplify right side
    1,971.97x = 1,732,110.07
  5. Step 5: Solve for x
    x = 1,732,110.07/1,971.97
  6. Step 6: Final answer
    x = 878.37

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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.