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Finding the Fourth Proportional to 723.23, 998.17 and 475.27

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Solution

The fourth proportional to 723.23, 998.17 and 475.27 is: 655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.23 : 998.17 = 475.27 : x
  2. Step 2: Convert to fraction form
    723.23/998.17 = 475.27/x
  3. Step 3: Cross multiply
    723.23x = 998.17 × 475.27
  4. Step 4: Simplify right side
    723.23x = 474,400.26
  5. Step 5: Solve for x
    x = 474,400.26/723.23
  6. Step 6: Final answer
    x = 655.95

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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.