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Finding the Fourth Proportional to 481.28, 716.98 and 463.86

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Solution

The fourth proportional to 481.28, 716.98 and 463.86 is: 691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.28 : 716.98 = 463.86 : x
  2. Step 2: Convert to fraction form
    481.28/716.98 = 463.86/x
  3. Step 3: Cross multiply
    481.28x = 716.98 × 463.86
  4. Step 4: Simplify right side
    481.28x = 332,578.34
  5. Step 5: Solve for x
    x = 332,578.34/481.28
  6. Step 6: Final answer
    x = 691.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.