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Finding the Fourth Proportional to 742.28, 1,024.09 and 480.44

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Solution

The fourth proportional to 742.28, 1,024.09 and 480.44 is: 662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,024.09 = 480.44 : x
  2. Step 2: Convert to fraction form
    742.28/1,024.09 = 480.44/x
  3. Step 3: Cross multiply
    742.28x = 1,024.09 × 480.44
  4. Step 4: Simplify right side
    742.28x = 492,013.80
  5. Step 5: Solve for x
    x = 492,013.80/742.28
  6. Step 6: Final answer
    x = 662.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.