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Finding the Fourth Proportional to 2,418.60, 3,627.67 and 663.53

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Solution

The fourth proportional to 2,418.60, 3,627.67 and 663.53 is: 995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.60 : 3,627.67 = 663.53 : x
  2. Step 2: Convert to fraction form
    2,418.60/3,627.67 = 663.53/x
  3. Step 3: Cross multiply
    2,418.60x = 3,627.67 × 663.53
  4. Step 4: Simplify right side
    2,418.60x = 2,407,075.29
  5. Step 5: Solve for x
    x = 2,407,075.29/2,418.60
  6. Step 6: Final answer
    x = 995.23

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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.