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Finding the Fourth Proportional to 752.88, 1,129.16 and 204.94

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Solution

The fourth proportional to 752.88, 1,129.16 and 204.94 is: 307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.88 : 1,129.16 = 204.94 : x
  2. Step 2: Convert to fraction form
    752.88/1,129.16 = 204.94/x
  3. Step 3: Cross multiply
    752.88x = 1,129.16 × 204.94
  4. Step 4: Simplify right side
    752.88x = 231,410.05
  5. Step 5: Solve for x
    x = 231,410.05/752.88
  6. Step 6: Final answer
    x = 307.37

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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.