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Finding the Fourth Proportional to 648.73, 973.32 and 494.83

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Solution

The fourth proportional to 648.73, 973.32 and 494.83 is: 742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.73 : 973.32 = 494.83 : x
  2. Step 2: Convert to fraction form
    648.73/973.32 = 494.83/x
  3. Step 3: Cross multiply
    648.73x = 973.32 × 494.83
  4. Step 4: Simplify right side
    648.73x = 481,627.94
  5. Step 5: Solve for x
    x = 481,627.94/648.73
  6. Step 6: Final answer
    x = 742.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.