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Finding the Fourth Proportional to 492.62, 680.09 and 374.67

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Solution

The fourth proportional to 492.62, 680.09 and 374.67 is: 517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.62 : 680.09 = 374.67 : x
  2. Step 2: Convert to fraction form
    492.62/680.09 = 374.67/x
  3. Step 3: Cross multiply
    492.62x = 680.09 × 374.67
  4. Step 4: Simplify right side
    492.62x = 254,807.45
  5. Step 5: Solve for x
    x = 254,807.45/492.62
  6. Step 6: Final answer
    x = 517.25

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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.