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Finding the Fourth Proportional to 420.94, 580.38 and 322.54

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Solution

The fourth proportional to 420.94, 580.38 and 322.54 is: 444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.94 : 580.38 = 322.54 : x
  2. Step 2: Convert to fraction form
    420.94/580.38 = 322.54/x
  3. Step 3: Cross multiply
    420.94x = 580.38 × 322.54
  4. Step 4: Simplify right side
    420.94x = 187,195.77
  5. Step 5: Solve for x
    x = 187,195.77/420.94
  6. Step 6: Final answer
    x = 444.71

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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.