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Finding the Fourth Proportional to 429.82, 645.06 and 320.38

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Solution

The fourth proportional to 429.82, 645.06 and 320.38 is: 480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.82 : 645.06 = 320.38 : x
  2. Step 2: Convert to fraction form
    429.82/645.06 = 320.38/x
  3. Step 3: Cross multiply
    429.82x = 645.06 × 320.38
  4. Step 4: Simplify right side
    429.82x = 206,664.32
  5. Step 5: Solve for x
    x = 206,664.32/429.82
  6. Step 6: Final answer
    x = 480.82

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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.