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Finding the Fourth Proportional to 743.60, 1,025.73 and 481.61

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Solution

The fourth proportional to 743.60, 1,025.73 and 481.61 is: 664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.60 : 1,025.73 = 481.61 : x
  2. Step 2: Convert to fraction form
    743.60/1,025.73 = 481.61/x
  3. Step 3: Cross multiply
    743.60x = 1,025.73 × 481.61
  4. Step 4: Simplify right side
    743.60x = 493,996.70
  5. Step 5: Solve for x
    x = 493,996.70/743.60
  6. Step 6: Final answer
    x = 664.34

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1.5x scale

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.