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Finding the Fourth Proportional to 752.37, 1,126.81 and 726.42

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Solution

The fourth proportional to 752.37, 1,126.81 and 726.42 is: 1,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.37 : 1,126.81 = 726.42 : x
  2. Step 2: Convert to fraction form
    752.37/1,126.81 = 726.42/x
  3. Step 3: Cross multiply
    752.37x = 1,126.81 × 726.42
  4. Step 4: Simplify right side
    752.37x = 818,537.32
  5. Step 5: Solve for x
    x = 818,537.32/752.37
  6. Step 6: Final answer
    x = 1,087.95

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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.