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Finding the Fourth Proportional to 492.23, 738.49 and 415.38

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Solution

The fourth proportional to 492.23, 738.49 and 415.38 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.23 : 738.49 = 415.38 : x
  2. Step 2: Convert to fraction form
    492.23/738.49 = 415.38/x
  3. Step 3: Cross multiply
    492.23x = 738.49 × 415.38
  4. Step 4: Simplify right side
    492.23x = 306,753.50
  5. Step 5: Solve for x
    x = 306,753.50/492.23
  6. Step 6: Final answer
    x = 623.20

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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.