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Finding the Fourth Proportional to 485.96, 732.19 and 439.75

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Solution

The fourth proportional to 485.96, 732.19 and 439.75 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.96 : 732.19 = 439.75 : x
  2. Step 2: Convert to fraction form
    485.96/732.19 = 439.75/x
  3. Step 3: Cross multiply
    485.96x = 732.19 × 439.75
  4. Step 4: Simplify right side
    485.96x = 321,977.62
  5. Step 5: Solve for x
    x = 321,977.62/485.96
  6. Step 6: Final answer
    x = 662.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.