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Finding the Fourth Proportional to 586.94, 809.22 and 481.64

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Solution

The fourth proportional to 586.94, 809.22 and 481.64 is: 664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.94 : 809.22 = 481.64 : x
  2. Step 2: Convert to fraction form
    586.94/809.22 = 481.64/x
  3. Step 3: Cross multiply
    586.94x = 809.22 × 481.64
  4. Step 4: Simplify right side
    586.94x = 389,752.72
  5. Step 5: Solve for x
    x = 389,752.72/586.94
  6. Step 6: Final answer
    x = 664.04

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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.