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Finding the Fourth Proportional to 764.64, 1,146.26 and 635.47

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Solution

The fourth proportional to 764.64, 1,146.26 and 635.47 is: 952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,146.26 = 635.47 : x
  2. Step 2: Convert to fraction form
    764.64/1,146.26 = 635.47/x
  3. Step 3: Cross multiply
    764.64x = 1,146.26 × 635.47
  4. Step 4: Simplify right side
    764.64x = 728,412.57
  5. Step 5: Solve for x
    x = 728,412.57/764.64
  6. Step 6: Final answer
    x = 952.62

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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.