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Finding the Fourth Proportional to 481.92, 717.24 and 464.64

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Solution

The fourth proportional to 481.92, 717.24 and 464.64 is: 691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.92 : 717.24 = 464.64 : x
  2. Step 2: Convert to fraction form
    481.92/717.24 = 464.64/x
  3. Step 3: Cross multiply
    481.92x = 717.24 × 464.64
  4. Step 4: Simplify right side
    481.92x = 333,258.39
  5. Step 5: Solve for x
    x = 333,258.39/481.92
  6. Step 6: Final answer
    x = 691.52

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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.