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Finding the Fourth Proportional to 585.72, 809.44 and 480.64

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Solution

The fourth proportional to 585.72, 809.44 and 480.64 is: 664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.72 : 809.44 = 480.64 : x
  2. Step 2: Convert to fraction form
    585.72/809.44 = 480.64/x
  3. Step 3: Cross multiply
    585.72x = 809.44 × 480.64
  4. Step 4: Simplify right side
    585.72x = 389,049.24
  5. Step 5: Solve for x
    x = 389,049.24/585.72
  6. Step 6: Final answer
    x = 664.22

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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.