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Finding the Fourth Proportional to 723.98, 998.84 and 462.15

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Solution

The fourth proportional to 723.98, 998.84 and 462.15 is: 637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.98 : 998.84 = 462.15 : x
  2. Step 2: Convert to fraction form
    723.98/998.84 = 462.15/x
  3. Step 3: Cross multiply
    723.98x = 998.84 × 462.15
  4. Step 4: Simplify right side
    723.98x = 461,611.60
  5. Step 5: Solve for x
    x = 461,611.60/723.98
  6. Step 6: Final answer
    x = 637.61

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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.