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Finding the Fourth Proportional to 439.19, 659.00 and 323.83

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Solution

The fourth proportional to 439.19, 659.00 and 323.83 is: 485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.19 : 659.00 = 323.83 : x
  2. Step 2: Convert to fraction form
    439.19/659.00 = 323.83/x
  3. Step 3: Cross multiply
    439.19x = 659.00 × 323.83
  4. Step 4: Simplify right side
    439.19x = 213,403.13
  5. Step 5: Solve for x
    x = 213,403.13/439.19
  6. Step 6: Final answer
    x = 485.91

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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.