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Finding the Fourth Proportional to 752.13, 1,126.74 and 701.49

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Solution

The fourth proportional to 752.13, 1,126.74 and 701.49 is: 1,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.13 : 1,126.74 = 701.49 : x
  2. Step 2: Convert to fraction form
    752.13/1,126.74 = 701.49/x
  3. Step 3: Cross multiply
    752.13x = 1,126.74 × 701.49
  4. Step 4: Simplify right side
    752.13x = 790,396.84
  5. Step 5: Solve for x
    x = 790,396.84/752.13
  6. Step 6: Final answer
    x = 1,050.88

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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.