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Finding the Fourth Proportional to 2,655.27, 3,982.84 and 653.96

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Solution

The fourth proportional to 2,655.27, 3,982.84 and 653.96 is: 980.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.27 : 3,982.84 = 653.96 : x
  2. Step 2: Convert to fraction form
    2,655.27/3,982.84 = 653.96/x
  3. Step 3: Cross multiply
    2,655.27x = 3,982.84 × 653.96
  4. Step 4: Simplify right side
    2,655.27x = 2,604,618.05
  5. Step 5: Solve for x
    x = 2,604,618.05/2,655.27
  6. Step 6: Final answer
    x = 980.92

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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.