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Finding the Fourth Proportional to 492.36, 677.88 and 393.54

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Solution

The fourth proportional to 492.36, 677.88 and 393.54 is: 541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.36 : 677.88 = 393.54 : x
  2. Step 2: Convert to fraction form
    492.36/677.88 = 393.54/x
  3. Step 3: Cross multiply
    492.36x = 677.88 × 393.54
  4. Step 4: Simplify right side
    492.36x = 266,772.90
  5. Step 5: Solve for x
    x = 266,772.90/492.36
  6. Step 6: Final answer
    x = 541.82

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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.