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Finding the Fourth Proportional to 2,416.50, 3,625.32 and 685.08

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Solution

The fourth proportional to 2,416.50, 3,625.32 and 685.08 is: 1,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.50 : 3,625.32 = 685.08 : x
  2. Step 2: Convert to fraction form
    2,416.50/3,625.32 = 685.08/x
  3. Step 3: Cross multiply
    2,416.50x = 3,625.32 × 685.08
  4. Step 4: Simplify right side
    2,416.50x = 2,483,634.23
  5. Step 5: Solve for x
    x = 2,483,634.23/2,416.50
  6. Step 6: Final answer
    x = 1,027.78

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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.