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Finding the Fourth Proportional to 712.18, 982.83 and 428.68

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Solution

The fourth proportional to 712.18, 982.83 and 428.68 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.18 : 982.83 = 428.68 : x
  2. Step 2: Convert to fraction form
    712.18/982.83 = 428.68/x
  3. Step 3: Cross multiply
    712.18x = 982.83 × 428.68
  4. Step 4: Simplify right side
    712.18x = 421,319.56
  5. Step 5: Solve for x
    x = 421,319.56/712.18
  6. Step 6: Final answer
    x = 591.59

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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.