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Finding the Fourth Proportional to 723.84, 998.26 and 474.92

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Solution

The fourth proportional to 723.84, 998.26 and 474.92 is: 654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.84 : 998.26 = 474.92 : x
  2. Step 2: Convert to fraction form
    723.84/998.26 = 474.92/x
  3. Step 3: Cross multiply
    723.84x = 998.26 × 474.92
  4. Step 4: Simplify right side
    723.84x = 474,093.64
  5. Step 5: Solve for x
    x = 474,093.64/723.84
  6. Step 6: Final answer
    x = 654.97

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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.