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Finding the Fourth Proportional to 1,988.79, 2,982.34 and 755.52

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Solution

The fourth proportional to 1,988.79, 2,982.34 and 755.52 is: 1,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.79 : 2,982.34 = 755.52 : x
  2. Step 2: Convert to fraction form
    1,988.79/2,982.34 = 755.52/x
  3. Step 3: Cross multiply
    1,988.79x = 2,982.34 × 755.52
  4. Step 4: Simplify right side
    1,988.79x = 2,253,217.52
  5. Step 5: Solve for x
    x = 2,253,217.52/1,988.79
  6. Step 6: Final answer
    x = 1,132.96

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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.