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Finding the Fourth Proportional to 492.70, 738.10 and 275.62

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Solution

The fourth proportional to 492.70, 738.10 and 275.62 is: 412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.70 : 738.10 = 275.62 : x
  2. Step 2: Convert to fraction form
    492.70/738.10 = 275.62/x
  3. Step 3: Cross multiply
    492.70x = 738.10 × 275.62
  4. Step 4: Simplify right side
    492.70x = 203,435.12
  5. Step 5: Solve for x
    x = 203,435.12/492.70
  6. Step 6: Final answer
    x = 412.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.