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Finding the Fourth Proportional to 481.70, 716.76 and 480.08

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Solution

The fourth proportional to 481.70, 716.76 and 480.08 is: 714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.70 : 716.76 = 480.08 : x
  2. Step 2: Convert to fraction form
    481.70/716.76 = 480.08/x
  3. Step 3: Cross multiply
    481.70x = 716.76 × 480.08
  4. Step 4: Simplify right side
    481.70x = 344,098.56
  5. Step 5: Solve for x
    x = 344,098.56/481.70
  6. Step 6: Final answer
    x = 714.35

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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.