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Finding the Fourth Proportional to 519.10, 711.96 and 492.71

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Solution

The fourth proportional to 519.10, 711.96 and 492.71 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 711.96 = 492.71 : x
  2. Step 2: Convert to fraction form
    519.10/711.96 = 492.71/x
  3. Step 3: Cross multiply
    519.10x = 711.96 × 492.71
  4. Step 4: Simplify right side
    519.10x = 350,789.81
  5. Step 5: Solve for x
    x = 350,789.81/519.10
  6. Step 6: Final answer
    x = 675.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.