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Finding the Fourth Proportional to 723.05, 998.06 and 461.01

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Solution

The fourth proportional to 723.05, 998.06 and 461.01 is: 636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.05 : 998.06 = 461.01 : x
  2. Step 2: Convert to fraction form
    723.05/998.06 = 461.01/x
  3. Step 3: Cross multiply
    723.05x = 998.06 × 461.01
  4. Step 4: Simplify right side
    723.05x = 460,113.34
  5. Step 5: Solve for x
    x = 460,113.34/723.05
  6. Step 6: Final answer
    x = 636.36

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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.