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Finding the Fourth Proportional to 492.09, 736.65 and 404.61

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Solution

The fourth proportional to 492.09, 736.65 and 404.61 is: 605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.09 : 736.65 = 404.61 : x
  2. Step 2: Convert to fraction form
    492.09/736.65 = 404.61/x
  3. Step 3: Cross multiply
    492.09x = 736.65 × 404.61
  4. Step 4: Simplify right side
    492.09x = 298,055.96
  5. Step 5: Solve for x
    x = 298,055.96/492.09
  6. Step 6: Final answer
    x = 605.69

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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.