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Finding the Fourth Proportional to 516.69, 712.23 and 339.34

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Solution

The fourth proportional to 516.69, 712.23 and 339.34 is: 467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.69 : 712.23 = 339.34 : x
  2. Step 2: Convert to fraction form
    516.69/712.23 = 339.34/x
  3. Step 3: Cross multiply
    516.69x = 712.23 × 339.34
  4. Step 4: Simplify right side
    516.69x = 241,688.13
  5. Step 5: Solve for x
    x = 241,688.13/516.69
  6. Step 6: Final answer
    x = 467.76

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Double scale
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1.5x scale

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.