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Finding the Fourth Proportional to 512.73, 711.45 and 492.17

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Solution

The fourth proportional to 512.73, 711.45 and 492.17 is: 682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 711.45 = 492.17 : x
  2. Step 2: Convert to fraction form
    512.73/711.45 = 492.17/x
  3. Step 3: Cross multiply
    512.73x = 711.45 × 492.17
  4. Step 4: Simplify right side
    512.73x = 350,150.79
  5. Step 5: Solve for x
    x = 350,150.79/512.73
  6. Step 6: Final answer
    x = 682.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.