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Finding the Fourth Proportional to 613.56, 845.82 and 465.94

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Solution

The fourth proportional to 613.56, 845.82 and 465.94 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.56 : 845.82 = 465.94 : x
  2. Step 2: Convert to fraction form
    613.56/845.82 = 465.94/x
  3. Step 3: Cross multiply
    613.56x = 845.82 × 465.94
  4. Step 4: Simplify right side
    613.56x = 394,096.36
  5. Step 5: Solve for x
    x = 394,096.36/613.56
  6. Step 6: Final answer
    x = 642.31

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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.