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Finding the Fourth Proportional to 420.62, 580.09 and 322.58

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Solution

The fourth proportional to 420.62, 580.09 and 322.58 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.62 : 580.09 = 322.58 : x
  2. Step 2: Convert to fraction form
    420.62/580.09 = 322.58/x
  3. Step 3: Cross multiply
    420.62x = 580.09 × 322.58
  4. Step 4: Simplify right side
    420.62x = 187,125.43
  5. Step 5: Solve for x
    x = 187,125.43/420.62
  6. Step 6: Final answer
    x = 444.88

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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.