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Finding the Fourth Proportional to 442.59, 662.70 and 325.72

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Solution

The fourth proportional to 442.59, 662.70 and 325.72 is: 487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.59 : 662.70 = 325.72 : x
  2. Step 2: Convert to fraction form
    442.59/662.70 = 325.72/x
  3. Step 3: Cross multiply
    442.59x = 662.70 × 325.72
  4. Step 4: Simplify right side
    442.59x = 215,854.64
  5. Step 5: Solve for x
    x = 215,854.64/442.59
  6. Step 6: Final answer
    x = 487.71

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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.