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Finding the Fourth Proportional to 2,504.21, 3,755.96 and 655.17

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Solution

The fourth proportional to 2,504.21, 3,755.96 and 655.17 is: 982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.21 : 3,755.96 = 655.17 : x
  2. Step 2: Convert to fraction form
    2,504.21/3,755.96 = 655.17/x
  3. Step 3: Cross multiply
    2,504.21x = 3,755.96 × 655.17
  4. Step 4: Simplify right side
    2,504.21x = 2,460,789.04
  5. Step 5: Solve for x
    x = 2,460,789.04/2,504.21
  6. Step 6: Final answer
    x = 982.66

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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.