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Finding the Fourth Proportional to 712.82, 984.25 and 546.77

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Solution

The fourth proportional to 712.82, 984.25 and 546.77 is: 754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 984.25 = 546.77 : x
  2. Step 2: Convert to fraction form
    712.82/984.25 = 546.77/x
  3. Step 3: Cross multiply
    712.82x = 984.25 × 546.77
  4. Step 4: Simplify right side
    712.82x = 538,161.52
  5. Step 5: Solve for x
    x = 538,161.52/712.82
  6. Step 6: Final answer
    x = 754.97

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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.