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Finding the Fourth Proportional to 743.40, 1,026.09 and 481.59

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Solution

The fourth proportional to 743.40, 1,026.09 and 481.59 is: 664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,026.09 = 481.59 : x
  2. Step 2: Convert to fraction form
    743.40/1,026.09 = 481.59/x
  3. Step 3: Cross multiply
    743.40x = 1,026.09 × 481.59
  4. Step 4: Simplify right side
    743.40x = 494,154.68
  5. Step 5: Solve for x
    x = 494,154.68/743.40
  6. Step 6: Final answer
    x = 664.72

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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.