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Finding the Fourth Proportional to 723.70, 997.41 and 713.62

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Solution

The fourth proportional to 723.70, 997.41 and 713.62 is: 983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.70 : 997.41 = 713.62 : x
  2. Step 2: Convert to fraction form
    723.70/997.41 = 713.62/x
  3. Step 3: Cross multiply
    723.70x = 997.41 × 713.62
  4. Step 4: Simplify right side
    723.70x = 711,771.72
  5. Step 5: Solve for x
    x = 711,771.72/723.70
  6. Step 6: Final answer
    x = 983.52

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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.