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Finding the Fourth Proportional to 634.61, 947.33 and 548.49

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Solution

The fourth proportional to 634.61, 947.33 and 548.49 is: 818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.61 : 947.33 = 548.49 : x
  2. Step 2: Convert to fraction form
    634.61/947.33 = 548.49/x
  3. Step 3: Cross multiply
    634.61x = 947.33 × 548.49
  4. Step 4: Simplify right side
    634.61x = 519,601.03
  5. Step 5: Solve for x
    x = 519,601.03/634.61
  6. Step 6: Final answer
    x = 818.77

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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.