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Finding the Fourth Proportional to 752.56, 1,128.44 and 405.97

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Solution

The fourth proportional to 752.56, 1,128.44 and 405.97 is: 608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.56 : 1,128.44 = 405.97 : x
  2. Step 2: Convert to fraction form
    752.56/1,128.44 = 405.97/x
  3. Step 3: Cross multiply
    752.56x = 1,128.44 × 405.97
  4. Step 4: Simplify right side
    752.56x = 458,110.98
  5. Step 5: Solve for x
    x = 458,110.98/752.56
  6. Step 6: Final answer
    x = 608.74

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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.