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Finding the Fourth Proportional to 2,170.43, 3,255.78 and 589.40

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Solution

The fourth proportional to 2,170.43, 3,255.78 and 589.40 is: 884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.43 : 3,255.78 = 589.40 : x
  2. Step 2: Convert to fraction form
    2,170.43/3,255.78 = 589.40/x
  3. Step 3: Cross multiply
    2,170.43x = 3,255.78 × 589.40
  4. Step 4: Simplify right side
    2,170.43x = 1,918,956.73
  5. Step 5: Solve for x
    x = 1,918,956.73/2,170.43
  6. Step 6: Final answer
    x = 884.14

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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.