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Finding the Fourth Proportional to 729.35, 1,005.98 and 449.22

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Solution

The fourth proportional to 729.35, 1,005.98 and 449.22 is: 619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.35 : 1,005.98 = 449.22 : x
  2. Step 2: Convert to fraction form
    729.35/1,005.98 = 449.22/x
  3. Step 3: Cross multiply
    729.35x = 1,005.98 × 449.22
  4. Step 4: Simplify right side
    729.35x = 451,899.06
  5. Step 5: Solve for x
    x = 451,899.06/729.35
  6. Step 6: Final answer
    x = 619.59

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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.