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Finding the Fourth Proportional to 723.91, 998.74 and 443.93

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Solution

The fourth proportional to 723.91, 998.74 and 443.93 is: 612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.91 : 998.74 = 443.93 : x
  2. Step 2: Convert to fraction form
    723.91/998.74 = 443.93/x
  3. Step 3: Cross multiply
    723.91x = 998.74 × 443.93
  4. Step 4: Simplify right side
    723.91x = 443,366.21
  5. Step 5: Solve for x
    x = 443,366.21/723.91
  6. Step 6: Final answer
    x = 612.46

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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.