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Finding the Fourth Proportional to 1,649.26, 2,473.75 and 609.22

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Solution

The fourth proportional to 1,649.26, 2,473.75 and 609.22 is: 913.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.26 : 2,473.75 = 609.22 : x
  2. Step 2: Convert to fraction form
    1,649.26/2,473.75 = 609.22/x
  3. Step 3: Cross multiply
    1,649.26x = 2,473.75 × 609.22
  4. Step 4: Simplify right side
    1,649.26x = 1,507,057.98
  5. Step 5: Solve for x
    x = 1,507,057.98/1,649.26
  6. Step 6: Final answer
    x = 913.78

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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.