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Finding the Fourth Proportional to 493.57, 743.09 and 436.12

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Solution

The fourth proportional to 493.57, 743.09 and 436.12 is: 656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.57 : 743.09 = 436.12 : x
  2. Step 2: Convert to fraction form
    493.57/743.09 = 436.12/x
  3. Step 3: Cross multiply
    493.57x = 743.09 × 436.12
  4. Step 4: Simplify right side
    493.57x = 324,076.41
  5. Step 5: Solve for x
    x = 324,076.41/493.57
  6. Step 6: Final answer
    x = 656.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.