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Finding the Fourth Proportional to 553.14, 828.90 and 492.39

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Solution

The fourth proportional to 553.14, 828.90 and 492.39 is: 737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.14 : 828.90 = 492.39 : x
  2. Step 2: Convert to fraction form
    553.14/828.90 = 492.39/x
  3. Step 3: Cross multiply
    553.14x = 828.90 × 492.39
  4. Step 4: Simplify right side
    553.14x = 408,142.07
  5. Step 5: Solve for x
    x = 408,142.07/553.14
  6. Step 6: Final answer
    x = 737.86

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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.