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Finding the Fourth Proportional to 512.73, 707.61 and 316.29

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Solution

The fourth proportional to 512.73, 707.61 and 316.29 is: 436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 707.61 = 316.29 : x
  2. Step 2: Convert to fraction form
    512.73/707.61 = 316.29/x
  3. Step 3: Cross multiply
    512.73x = 707.61 × 316.29
  4. Step 4: Simplify right side
    512.73x = 223,809.97
  5. Step 5: Solve for x
    x = 223,809.97/512.73
  6. Step 6: Final answer
    x = 436.51

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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.