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Finding the Fourth Proportional to 492.78, 680.67 and 428.46

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Solution

The fourth proportional to 492.78, 680.67 and 428.46 is: 591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 680.67 = 428.46 : x
  2. Step 2: Convert to fraction form
    492.78/680.67 = 428.46/x
  3. Step 3: Cross multiply
    492.78x = 680.67 × 428.46
  4. Step 4: Simplify right side
    492.78x = 291,639.87
  5. Step 5: Solve for x
    x = 291,639.87/492.78
  6. Step 6: Final answer
    x = 591.83

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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.