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Finding the Fourth Proportional to 492.05, 678.97 and 393.77

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Solution

The fourth proportional to 492.05, 678.97 and 393.77 is: 543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.05 : 678.97 = 393.77 : x
  2. Step 2: Convert to fraction form
    492.05/678.97 = 393.77/x
  3. Step 3: Cross multiply
    492.05x = 678.97 × 393.77
  4. Step 4: Simplify right side
    492.05x = 267,358.02
  5. Step 5: Solve for x
    x = 267,358.02/492.05
  6. Step 6: Final answer
    x = 543.36

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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.