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Finding the Fourth Proportional to 492.46, 675.83 and 490.15

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Solution

The fourth proportional to 492.46, 675.83 and 490.15 is: 672.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.46 : 675.83 = 490.15 : x
  2. Step 2: Convert to fraction form
    492.46/675.83 = 490.15/x
  3. Step 3: Cross multiply
    492.46x = 675.83 × 490.15
  4. Step 4: Simplify right side
    492.46x = 331,262.08
  5. Step 5: Solve for x
    x = 331,262.08/492.46
  6. Step 6: Final answer
    x = 672.67

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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.