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Finding the Fourth Proportional to 442.56, 658.27 and 441.08

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Solution

The fourth proportional to 442.56, 658.27 and 441.08 is: 656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.56 : 658.27 = 441.08 : x
  2. Step 2: Convert to fraction form
    442.56/658.27 = 441.08/x
  3. Step 3: Cross multiply
    442.56x = 658.27 × 441.08
  4. Step 4: Simplify right side
    442.56x = 290,349.73
  5. Step 5: Solve for x
    x = 290,349.73/442.56
  6. Step 6: Final answer
    x = 656.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.