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Finding the Fourth Proportional to 429.81, 643.46 and 327.51

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Solution

The fourth proportional to 429.81, 643.46 and 327.51 is: 490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.81 : 643.46 = 327.51 : x
  2. Step 2: Convert to fraction form
    429.81/643.46 = 327.51/x
  3. Step 3: Cross multiply
    429.81x = 643.46 × 327.51
  4. Step 4: Simplify right side
    429.81x = 210,737.95
  5. Step 5: Solve for x
    x = 210,737.95/429.81
  6. Step 6: Final answer
    x = 490.30

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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.