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Finding the Fourth Proportional to 429.06, 645.84 and 327.60

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Solution

The fourth proportional to 429.06, 645.84 and 327.60 is: 493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 645.84 = 327.60 : x
  2. Step 2: Convert to fraction form
    429.06/645.84 = 327.60/x
  3. Step 3: Cross multiply
    429.06x = 645.84 × 327.60
  4. Step 4: Simplify right side
    429.06x = 211,577.18
  5. Step 5: Solve for x
    x = 211,577.18/429.06
  6. Step 6: Final answer
    x = 493.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.