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Finding the Fourth Proportional to 1,608.50, 2,412.94 and 914.78

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Solution

The fourth proportional to 1,608.50, 2,412.94 and 914.78 is: 1,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.50 : 2,412.94 = 914.78 : x
  2. Step 2: Convert to fraction form
    1,608.50/2,412.94 = 914.78/x
  3. Step 3: Cross multiply
    1,608.50x = 2,412.94 × 914.78
  4. Step 4: Simplify right side
    1,608.50x = 2,207,309.25
  5. Step 5: Solve for x
    x = 2,207,309.25/1,608.50
  6. Step 6: Final answer
    x = 1,372.28

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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.