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Finding the Fourth Proportional to 519.08, 719.66 and 492.72

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Solution

The fourth proportional to 519.08, 719.66 and 492.72 is: 683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.08 : 719.66 = 492.72 : x
  2. Step 2: Convert to fraction form
    519.08/719.66 = 492.72/x
  3. Step 3: Cross multiply
    519.08x = 719.66 × 492.72
  4. Step 4: Simplify right side
    519.08x = 354,590.88
  5. Step 5: Solve for x
    x = 354,590.88/519.08
  6. Step 6: Final answer
    x = 683.11

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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.