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Finding the Fourth Proportional to 712.21, 982.56 and 488.20

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Solution

The fourth proportional to 712.21, 982.56 and 488.20 is: 673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.21 : 982.56 = 488.20 : x
  2. Step 2: Convert to fraction form
    712.21/982.56 = 488.20/x
  3. Step 3: Cross multiply
    712.21x = 982.56 × 488.20
  4. Step 4: Simplify right side
    712.21x = 479,685.79
  5. Step 5: Solve for x
    x = 479,685.79/712.21
  6. Step 6: Final answer
    x = 673.52

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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.