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Finding the Fourth Proportional to 723.79, 998.94 and 461.98

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Solution

The fourth proportional to 723.79, 998.94 and 461.98 is: 637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.79 : 998.94 = 461.98 : x
  2. Step 2: Convert to fraction form
    723.79/998.94 = 461.98/x
  3. Step 3: Cross multiply
    723.79x = 998.94 × 461.98
  4. Step 4: Simplify right side
    723.79x = 461,490.30
  5. Step 5: Solve for x
    x = 461,490.30/723.79
  6. Step 6: Final answer
    x = 637.60

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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.