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Finding the Fourth Proportional to 746.18, 1,120.42 and 607.96

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Solution

The fourth proportional to 746.18, 1,120.42 and 607.96 is: 912.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.18 : 1,120.42 = 607.96 : x
  2. Step 2: Convert to fraction form
    746.18/1,120.42 = 607.96/x
  3. Step 3: Cross multiply
    746.18x = 1,120.42 × 607.96
  4. Step 4: Simplify right side
    746.18x = 681,170.54
  5. Step 5: Solve for x
    x = 681,170.54/746.18
  6. Step 6: Final answer
    x = 912.88

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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.