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Finding the Fourth Proportional to 723.82, 999.45 and 668.54

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Solution

The fourth proportional to 723.82, 999.45 and 668.54 is: 923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.82 : 999.45 = 668.54 : x
  2. Step 2: Convert to fraction form
    723.82/999.45 = 668.54/x
  3. Step 3: Cross multiply
    723.82x = 999.45 × 668.54
  4. Step 4: Simplify right side
    723.82x = 668,172.30
  5. Step 5: Solve for x
    x = 668,172.30/723.82
  6. Step 6: Final answer
    x = 923.12

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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.