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Finding the Fourth Proportional to 516.65, 712.94 and 317.39

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Solution

The fourth proportional to 516.65, 712.94 and 317.39 is: 437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 712.94 = 317.39 : x
  2. Step 2: Convert to fraction form
    516.65/712.94 = 317.39/x
  3. Step 3: Cross multiply
    516.65x = 712.94 × 317.39
  4. Step 4: Simplify right side
    516.65x = 226,274.87
  5. Step 5: Solve for x
    x = 226,274.87/516.65
  6. Step 6: Final answer
    x = 437.97

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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.