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Finding the Fourth Proportional to 2,418.08, 3,625.38 and 773.68

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Solution

The fourth proportional to 2,418.08, 3,625.38 and 773.68 is: 1,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.08 : 3,625.38 = 773.68 : x
  2. Step 2: Convert to fraction form
    2,418.08/3,625.38 = 773.68/x
  3. Step 3: Cross multiply
    2,418.08x = 3,625.38 × 773.68
  4. Step 4: Simplify right side
    2,418.08x = 2,804,884.00
  5. Step 5: Solve for x
    x = 2,804,884.00/2,418.08
  6. Step 6: Final answer
    x = 1,159.96

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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.