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Finding the Fourth Proportional to 723.92, 999 and 392.34

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Solution

The fourth proportional to 723.92, 999 and 392.34 is: 541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.92 : 999 = 392.34 : x
  2. Step 2: Convert to fraction form
    723.92/999 = 392.34/x
  3. Step 3: Cross multiply
    723.92x = 999 × 392.34
  4. Step 4: Simplify right side
    723.92x = 391,947.66
  5. Step 5: Solve for x
    x = 391,947.66/723.92
  6. Step 6: Final answer
    x = 541.43

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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.