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Finding the Fourth Proportional to 480.67, 722.05 and 297.81

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Solution

The fourth proportional to 480.67, 722.05 and 297.81 is: 447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.67 : 722.05 = 297.81 : x
  2. Step 2: Convert to fraction form
    480.67/722.05 = 297.81/x
  3. Step 3: Cross multiply
    480.67x = 722.05 × 297.81
  4. Step 4: Simplify right side
    480.67x = 215,032.97
  5. Step 5: Solve for x
    x = 215,032.97/480.67
  6. Step 6: Final answer
    x = 447.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.