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Finding the Fourth Proportional to 1,640.82, 2,459.68 and 654.25

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Solution

The fourth proportional to 1,640.82, 2,459.68 and 654.25 is: 980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.82 : 2,459.68 = 654.25 : x
  2. Step 2: Convert to fraction form
    1,640.82/2,459.68 = 654.25/x
  3. Step 3: Cross multiply
    1,640.82x = 2,459.68 × 654.25
  4. Step 4: Simplify right side
    1,640.82x = 1,609,230.07
  5. Step 5: Solve for x
    x = 1,609,230.07/1,640.82
  6. Step 6: Final answer
    x = 980.75

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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.