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Finding the Fourth Proportional to 752.42, 1,036.24 and 736.28

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Solution

The fourth proportional to 752.42, 1,036.24 and 736.28 is: 1,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.42 : 1,036.24 = 736.28 : x
  2. Step 2: Convert to fraction form
    752.42/1,036.24 = 736.28/x
  3. Step 3: Cross multiply
    752.42x = 1,036.24 × 736.28
  4. Step 4: Simplify right side
    752.42x = 762,962.79
  5. Step 5: Solve for x
    x = 762,962.79/752.42
  6. Step 6: Final answer
    x = 1,014.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.