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Finding the Fourth Proportional to 752.17, 1,126.51 and 731.41

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Solution

The fourth proportional to 752.17, 1,126.51 and 731.41 is: 1,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.17 : 1,126.51 = 731.41 : x
  2. Step 2: Convert to fraction form
    752.17/1,126.51 = 731.41/x
  3. Step 3: Cross multiply
    752.17x = 1,126.51 × 731.41
  4. Step 4: Simplify right side
    752.17x = 823,942.37
  5. Step 5: Solve for x
    x = 823,942.37/752.17
  6. Step 6: Final answer
    x = 1,095.42

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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.