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Finding the Fourth Proportional to 744.25, 1,027.13 and 449.51

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Solution

The fourth proportional to 744.25, 1,027.13 and 449.51 is: 620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.25 : 1,027.13 = 449.51 : x
  2. Step 2: Convert to fraction form
    744.25/1,027.13 = 449.51/x
  3. Step 3: Cross multiply
    744.25x = 1,027.13 × 449.51
  4. Step 4: Simplify right side
    744.25x = 461,703.24
  5. Step 5: Solve for x
    x = 461,703.24/744.25
  6. Step 6: Final answer
    x = 620.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.