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Finding the Fourth Proportional to 1,968.43, 2,953.09 and 581.65

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Solution

The fourth proportional to 1,968.43, 2,953.09 and 581.65 is: 872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.43 : 2,953.09 = 581.65 : x
  2. Step 2: Convert to fraction form
    1,968.43/2,953.09 = 581.65/x
  3. Step 3: Cross multiply
    1,968.43x = 2,953.09 × 581.65
  4. Step 4: Simplify right side
    1,968.43x = 1,717,659.39
  5. Step 5: Solve for x
    x = 1,717,659.39/1,968.43
  6. Step 6: Final answer
    x = 872.60

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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.