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Finding the Fourth Proportional to 712.38, 982.73 and 463.85

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Solution

The fourth proportional to 712.38, 982.73 and 463.85 is: 639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.38 : 982.73 = 463.85 : x
  2. Step 2: Convert to fraction form
    712.38/982.73 = 463.85/x
  3. Step 3: Cross multiply
    712.38x = 982.73 × 463.85
  4. Step 4: Simplify right side
    712.38x = 455,835.56
  5. Step 5: Solve for x
    x = 455,835.56/712.38
  6. Step 6: Final answer
    x = 639.88

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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.