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Finding the Fourth Proportional to 712.22, 982.13 and 487.91

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Solution

The fourth proportional to 712.22, 982.13 and 487.91 is: 672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.22 : 982.13 = 487.91 : x
  2. Step 2: Convert to fraction form
    712.22/982.13 = 487.91/x
  3. Step 3: Cross multiply
    712.22x = 982.13 × 487.91
  4. Step 4: Simplify right side
    712.22x = 479,191.06
  5. Step 5: Solve for x
    x = 479,191.06/712.22
  6. Step 6: Final answer
    x = 672.82

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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.