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Finding the Fourth Proportional to 481.44, 717.33 and 460.47

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Solution

The fourth proportional to 481.44, 717.33 and 460.47 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.44 : 717.33 = 460.47 : x
  2. Step 2: Convert to fraction form
    481.44/717.33 = 460.47/x
  3. Step 3: Cross multiply
    481.44x = 717.33 × 460.47
  4. Step 4: Simplify right side
    481.44x = 330,308.95
  5. Step 5: Solve for x
    x = 330,308.95/481.44
  6. Step 6: Final answer
    x = 686.09

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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.