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Finding the Fourth Proportional to 485.91, 670.41 and 320.09

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Solution

The fourth proportional to 485.91, 670.41 and 320.09 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.91 : 670.41 = 320.09 : x
  2. Step 2: Convert to fraction form
    485.91/670.41 = 320.09/x
  3. Step 3: Cross multiply
    485.91x = 670.41 × 320.09
  4. Step 4: Simplify right side
    485.91x = 214,588.18
  5. Step 5: Solve for x
    x = 214,588.18/485.91
  6. Step 6: Final answer
    x = 441.62

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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.