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Finding the Fourth Proportional to 634.23, 948.81 and 548.49

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Solution

The fourth proportional to 634.23, 948.81 and 548.49 is: 820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.23 : 948.81 = 548.49 : x
  2. Step 2: Convert to fraction form
    634.23/948.81 = 548.49/x
  3. Step 3: Cross multiply
    634.23x = 948.81 × 548.49
  4. Step 4: Simplify right side
    634.23x = 520,412.80
  5. Step 5: Solve for x
    x = 520,412.80/634.23
  6. Step 6: Final answer
    x = 820.54

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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.