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Finding the Fourth Proportional to 480.82, 717.96 and 382.21

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Solution

The fourth proportional to 480.82, 717.96 and 382.21 is: 570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.82 : 717.96 = 382.21 : x
  2. Step 2: Convert to fraction form
    480.82/717.96 = 382.21/x
  3. Step 3: Cross multiply
    480.82x = 717.96 × 382.21
  4. Step 4: Simplify right side
    480.82x = 274,411.49
  5. Step 5: Solve for x
    x = 274,411.49/480.82
  6. Step 6: Final answer
    x = 570.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.