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Finding the Fourth Proportional to 712.85, 984.08 and 481.19

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Solution

The fourth proportional to 712.85, 984.08 and 481.19 is: 664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.85 : 984.08 = 481.19 : x
  2. Step 2: Convert to fraction form
    712.85/984.08 = 481.19/x
  3. Step 3: Cross multiply
    712.85x = 984.08 × 481.19
  4. Step 4: Simplify right side
    712.85x = 473,525.74
  5. Step 5: Solve for x
    x = 473,525.74/712.85
  6. Step 6: Final answer
    x = 664.28

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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.