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Finding the Fourth Proportional to 731.06, 1,096.90 and 406.06

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Solution

The fourth proportional to 731.06, 1,096.90 and 406.06 is: 609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.06 : 1,096.90 = 406.06 : x
  2. Step 2: Convert to fraction form
    731.06/1,096.90 = 406.06/x
  3. Step 3: Cross multiply
    731.06x = 1,096.90 × 406.06
  4. Step 4: Simplify right side
    731.06x = 445,407.21
  5. Step 5: Solve for x
    x = 445,407.21/731.06
  6. Step 6: Final answer
    x = 609.26

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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.