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Finding the Fourth Proportional to 742.57, 1,024.85 and 481.04

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Solution

The fourth proportional to 742.57, 1,024.85 and 481.04 is: 663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.57 : 1,024.85 = 481.04 : x
  2. Step 2: Convert to fraction form
    742.57/1,024.85 = 481.04/x
  3. Step 3: Cross multiply
    742.57x = 1,024.85 × 481.04
  4. Step 4: Simplify right side
    742.57x = 492,993.77
  5. Step 5: Solve for x
    x = 492,993.77/742.57
  6. Step 6: Final answer
    x = 663.90

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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.