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Finding the Fourth Proportional to 731.97, 1,096.23 and 485.01

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Solution

The fourth proportional to 731.97, 1,096.23 and 485.01 is: 726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.97 : 1,096.23 = 485.01 : x
  2. Step 2: Convert to fraction form
    731.97/1,096.23 = 485.01/x
  3. Step 3: Cross multiply
    731.97x = 1,096.23 × 485.01
  4. Step 4: Simplify right side
    731.97x = 531,682.51
  5. Step 5: Solve for x
    x = 531,682.51/731.97
  6. Step 6: Final answer
    x = 726.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.