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Finding the Fourth Proportional to 764.88, 1,054.31 and 516.12

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Solution

The fourth proportional to 764.88, 1,054.31 and 516.12 is: 711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.88 : 1,054.31 = 516.12 : x
  2. Step 2: Convert to fraction form
    764.88/1,054.31 = 516.12/x
  3. Step 3: Cross multiply
    764.88x = 1,054.31 × 516.12
  4. Step 4: Simplify right side
    764.88x = 544,147.90
  5. Step 5: Solve for x
    x = 544,147.90/764.88
  6. Step 6: Final answer
    x = 711.42

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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.