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Finding the Fourth Proportional to 744.32, 1,026.26 and 449.48

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Solution

The fourth proportional to 744.32, 1,026.26 and 449.48 is: 619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.32 : 1,026.26 = 449.48 : x
  2. Step 2: Convert to fraction form
    744.32/1,026.26 = 449.48/x
  3. Step 3: Cross multiply
    744.32x = 1,026.26 × 449.48
  4. Step 4: Simplify right side
    744.32x = 461,283.34
  5. Step 5: Solve for x
    x = 461,283.34/744.32
  6. Step 6: Final answer
    x = 619.74

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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.