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Finding the Fourth Proportional to 713.89, 986.97 and 683.29

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Solution

The fourth proportional to 713.89, 986.97 and 683.29 is: 944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.89 : 986.97 = 683.29 : x
  2. Step 2: Convert to fraction form
    713.89/986.97 = 683.29/x
  3. Step 3: Cross multiply
    713.89x = 986.97 × 683.29
  4. Step 4: Simplify right side
    713.89x = 674,386.73
  5. Step 5: Solve for x
    x = 674,386.73/713.89
  6. Step 6: Final answer
    x = 944.66

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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.