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Finding the Fourth Proportional to 492.46, 678.20 and 490.94

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Solution

The fourth proportional to 492.46, 678.20 and 490.94 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.46 : 678.20 = 490.94 : x
  2. Step 2: Convert to fraction form
    492.46/678.20 = 490.94/x
  3. Step 3: Cross multiply
    492.46x = 678.20 × 490.94
  4. Step 4: Simplify right side
    492.46x = 332,955.51
  5. Step 5: Solve for x
    x = 332,955.51/492.46
  6. Step 6: Final answer
    x = 676.11

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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.