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Finding the Fourth Proportional to 518.69, 715.61 and 316.73

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Solution

The fourth proportional to 518.69, 715.61 and 316.73 is: 436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.69 : 715.61 = 316.73 : x
  2. Step 2: Convert to fraction form
    518.69/715.61 = 316.73/x
  3. Step 3: Cross multiply
    518.69x = 715.61 × 316.73
  4. Step 4: Simplify right side
    518.69x = 226,653.57
  5. Step 5: Solve for x
    x = 226,653.57/518.69
  6. Step 6: Final answer
    x = 436.97

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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.