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Finding the Fourth Proportional to 734.06, 1,099.56 and 440.63

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Solution

The fourth proportional to 734.06, 1,099.56 and 440.63 is: 660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.06 : 1,099.56 = 440.63 : x
  2. Step 2: Convert to fraction form
    734.06/1,099.56 = 440.63/x
  3. Step 3: Cross multiply
    734.06x = 1,099.56 × 440.63
  4. Step 4: Simplify right side
    734.06x = 484,499.12
  5. Step 5: Solve for x
    x = 484,499.12/734.06
  6. Step 6: Final answer
    x = 660.03

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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.