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Finding the Fourth Proportional to 1,949.57, 2,924.37 and 716.45

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Solution

The fourth proportional to 1,949.57, 2,924.37 and 716.45 is: 1,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.57 : 2,924.37 = 716.45 : x
  2. Step 2: Convert to fraction form
    1,949.57/2,924.37 = 716.45/x
  3. Step 3: Cross multiply
    1,949.57x = 2,924.37 × 716.45
  4. Step 4: Simplify right side
    1,949.57x = 2,095,164.89
  5. Step 5: Solve for x
    x = 2,095,164.89/1,949.57
  6. Step 6: Final answer
    x = 1,074.68

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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.