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Finding the Fourth Proportional to 481.05, 720.68 and 429.12

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Solution

The fourth proportional to 481.05, 720.68 and 429.12 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.05 : 720.68 = 429.12 : x
  2. Step 2: Convert to fraction form
    481.05/720.68 = 429.12/x
  3. Step 3: Cross multiply
    481.05x = 720.68 × 429.12
  4. Step 4: Simplify right side
    481.05x = 309,256.06
  5. Step 5: Solve for x
    x = 309,256.06/481.05
  6. Step 6: Final answer
    x = 642.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.