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Finding the Fourth Proportional to 764.63, 1,057.26 and 752.27

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Solution

The fourth proportional to 764.63, 1,057.26 and 752.27 is: 1,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.63 : 1,057.26 = 752.27 : x
  2. Step 2: Convert to fraction form
    764.63/1,057.26 = 752.27/x
  3. Step 3: Cross multiply
    764.63x = 1,057.26 × 752.27
  4. Step 4: Simplify right side
    764.63x = 795,344.98
  5. Step 5: Solve for x
    x = 795,344.98/764.63
  6. Step 6: Final answer
    x = 1,040.17

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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.