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Finding the Fourth Proportional to 712.27, 982.59 and 491.35

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Solution

The fourth proportional to 712.27, 982.59 and 491.35 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.27 : 982.59 = 491.35 : x
  2. Step 2: Convert to fraction form
    712.27/982.59 = 491.35/x
  3. Step 3: Cross multiply
    712.27x = 982.59 × 491.35
  4. Step 4: Simplify right side
    712.27x = 482,795.60
  5. Step 5: Solve for x
    x = 482,795.60/712.27
  6. Step 6: Final answer
    x = 677.83

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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.