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Finding the Fourth Proportional to 492.26, 677.49 and 402.98

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Solution

The fourth proportional to 492.26, 677.49 and 402.98 is: 554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.26 : 677.49 = 402.98 : x
  2. Step 2: Convert to fraction form
    492.26/677.49 = 402.98/x
  3. Step 3: Cross multiply
    492.26x = 677.49 × 402.98
  4. Step 4: Simplify right side
    492.26x = 273,014.92
  5. Step 5: Solve for x
    x = 273,014.92/492.26
  6. Step 6: Final answer
    x = 554.62

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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.