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Finding the Fourth Proportional to 634.46, 947.09 and 548.34

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Solution

The fourth proportional to 634.46, 947.09 and 548.34 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.46 : 947.09 = 548.34 : x
  2. Step 2: Convert to fraction form
    634.46/947.09 = 548.34/x
  3. Step 3: Cross multiply
    634.46x = 947.09 × 548.34
  4. Step 4: Simplify right side
    634.46x = 519,327.33
  5. Step 5: Solve for x
    x = 519,327.33/634.46
  6. Step 6: Final answer
    x = 818.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.