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Finding the Fourth Proportional to 516.88, 772.10 and 439.48

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Solution

The fourth proportional to 516.88, 772.10 and 439.48 is: 656.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.88 : 772.10 = 439.48 : x
  2. Step 2: Convert to fraction form
    516.88/772.10 = 439.48/x
  3. Step 3: Cross multiply
    516.88x = 772.10 × 439.48
  4. Step 4: Simplify right side
    516.88x = 339,322.51
  5. Step 5: Solve for x
    x = 339,322.51/516.88
  6. Step 6: Final answer
    x = 656.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.