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Finding the Fourth Proportional to 729.22, 1,005.49 and 480.46

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Solution

The fourth proportional to 729.22, 1,005.49 and 480.46 is: 662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.22 : 1,005.49 = 480.46 : x
  2. Step 2: Convert to fraction form
    729.22/1,005.49 = 480.46/x
  3. Step 3: Cross multiply
    729.22x = 1,005.49 × 480.46
  4. Step 4: Simplify right side
    729.22x = 483,097.73
  5. Step 5: Solve for x
    x = 483,097.73/729.22
  6. Step 6: Final answer
    x = 662.49

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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.