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Finding the Fourth Proportional to 478.48, 659.72 and 323.28

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Solution

The fourth proportional to 478.48, 659.72 and 323.28 is: 445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.48 : 659.72 = 323.28 : x
  2. Step 2: Convert to fraction form
    478.48/659.72 = 323.28/x
  3. Step 3: Cross multiply
    478.48x = 659.72 × 323.28
  4. Step 4: Simplify right side
    478.48x = 213,274.28
  5. Step 5: Solve for x
    x = 213,274.28/478.48
  6. Step 6: Final answer
    x = 445.73

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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.