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Finding the Fourth Proportional to 1,972.34, 2,958.48 and 585.68

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Solution

The fourth proportional to 1,972.34, 2,958.48 and 585.68 is: 878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.34 : 2,958.48 = 585.68 : x
  2. Step 2: Convert to fraction form
    1,972.34/2,958.48 = 585.68/x
  3. Step 3: Cross multiply
    1,972.34x = 2,958.48 × 585.68
  4. Step 4: Simplify right side
    1,972.34x = 1,732,722.57
  5. Step 5: Solve for x
    x = 1,732,722.57/1,972.34
  6. Step 6: Final answer
    x = 878.51

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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.