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Finding the Fourth Proportional to 764.64, 1,055.43 and 516.78

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Solution

The fourth proportional to 764.64, 1,055.43 and 516.78 is: 713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,055.43 = 516.78 : x
  2. Step 2: Convert to fraction form
    764.64/1,055.43 = 516.78/x
  3. Step 3: Cross multiply
    764.64x = 1,055.43 × 516.78
  4. Step 4: Simplify right side
    764.64x = 545,425.12
  5. Step 5: Solve for x
    x = 545,425.12/764.64
  6. Step 6: Final answer
    x = 713.31

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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.