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Finding the Fourth Proportional to 420.73, 579.02 and 327.11

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Solution

The fourth proportional to 420.73, 579.02 and 327.11 is: 450.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.73 : 579.02 = 327.11 : x
  2. Step 2: Convert to fraction form
    420.73/579.02 = 327.11/x
  3. Step 3: Cross multiply
    420.73x = 579.02 × 327.11
  4. Step 4: Simplify right side
    420.73x = 189,398.70
  5. Step 5: Solve for x
    x = 189,398.70/420.73
  6. Step 6: Final answer
    x = 450.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.