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Finding the Fourth Proportional to 712.38, 982.62 and 601.68

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Solution

The fourth proportional to 712.38, 982.62 and 601.68 is: 829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.38 : 982.62 = 601.68 : x
  2. Step 2: Convert to fraction form
    712.38/982.62 = 601.68/x
  3. Step 3: Cross multiply
    712.38x = 982.62 × 601.68
  4. Step 4: Simplify right side
    712.38x = 591,222.80
  5. Step 5: Solve for x
    x = 591,222.80/712.38
  6. Step 6: Final answer
    x = 829.93

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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.