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Finding the Fourth Proportional to 752.64, 1,122.96 and 746.88

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Solution

The fourth proportional to 752.64, 1,122.96 and 746.88 is: 1,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.64 : 1,122.96 = 746.88 : x
  2. Step 2: Convert to fraction form
    752.64/1,122.96 = 746.88/x
  3. Step 3: Cross multiply
    752.64x = 1,122.96 × 746.88
  4. Step 4: Simplify right side
    752.64x = 838,716.36
  5. Step 5: Solve for x
    x = 838,716.36/752.64
  6. Step 6: Final answer
    x = 1,114.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.