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Finding the Fourth Proportional to 734.60, 1,107.41 and 728.12

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Solution

The fourth proportional to 734.60, 1,107.41 and 728.12 is: 1,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.60 : 1,107.41 = 728.12 : x
  2. Step 2: Convert to fraction form
    734.60/1,107.41 = 728.12/x
  3. Step 3: Cross multiply
    734.60x = 1,107.41 × 728.12
  4. Step 4: Simplify right side
    734.60x = 806,327.37
  5. Step 5: Solve for x
    x = 806,327.37/734.60
  6. Step 6: Final answer
    x = 1,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.