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Finding the Fourth Proportional to 752.57, 1,128.90 and 204.68

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Solution

The fourth proportional to 752.57, 1,128.90 and 204.68 is: 307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.57 : 1,128.90 = 204.68 : x
  2. Step 2: Convert to fraction form
    752.57/1,128.90 = 204.68/x
  3. Step 3: Cross multiply
    752.57x = 1,128.90 × 204.68
  4. Step 4: Simplify right side
    752.57x = 231,057.61
  5. Step 5: Solve for x
    x = 231,057.61/752.57
  6. Step 6: Final answer
    x = 307.03

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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.