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Finding the Fourth Proportional to 752.03, 1,128.36 and 422.57

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Solution

The fourth proportional to 752.03, 1,128.36 and 422.57 is: 634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.03 : 1,128.36 = 422.57 : x
  2. Step 2: Convert to fraction form
    752.03/1,128.36 = 422.57/x
  3. Step 3: Cross multiply
    752.03x = 1,128.36 × 422.57
  4. Step 4: Simplify right side
    752.03x = 476,812.14
  5. Step 5: Solve for x
    x = 476,812.14/752.03
  6. Step 6: Final answer
    x = 634.04

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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.