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Finding the Fourth Proportional to 481.14, 717.66 and 429.30

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Solution

The fourth proportional to 481.14, 717.66 and 429.30 is: 640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.14 : 717.66 = 429.30 : x
  2. Step 2: Convert to fraction form
    481.14/717.66 = 429.30/x
  3. Step 3: Cross multiply
    481.14x = 717.66 × 429.30
  4. Step 4: Simplify right side
    481.14x = 308,091.44
  5. Step 5: Solve for x
    x = 308,091.44/481.14
  6. Step 6: Final answer
    x = 640.34

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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.