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Finding the Fourth Proportional to 712.42, 984.08 and 548.69

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Solution

The fourth proportional to 712.42, 984.08 and 548.69 is: 757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.42 : 984.08 = 548.69 : x
  2. Step 2: Convert to fraction form
    712.42/984.08 = 548.69/x
  3. Step 3: Cross multiply
    712.42x = 984.08 × 548.69
  4. Step 4: Simplify right side
    712.42x = 539,951.31
  5. Step 5: Solve for x
    x = 539,951.31/712.42
  6. Step 6: Final answer
    x = 757.91

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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.