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Finding the Fourth Proportional to 744.64, 1,027.11 and 449.35

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Solution

The fourth proportional to 744.64, 1,027.11 and 449.35 is: 619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.64 : 1,027.11 = 449.35 : x
  2. Step 2: Convert to fraction form
    744.64/1,027.11 = 449.35/x
  3. Step 3: Cross multiply
    744.64x = 1,027.11 × 449.35
  4. Step 4: Simplify right side
    744.64x = 461,531.88
  5. Step 5: Solve for x
    x = 461,531.88/744.64
  6. Step 6: Final answer
    x = 619.81

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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.