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Finding the Fourth Proportional to 505.38, 762.74 and 492.42

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Solution

The fourth proportional to 505.38, 762.74 and 492.42 is: 743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.38 : 762.74 = 492.42 : x
  2. Step 2: Convert to fraction form
    505.38/762.74 = 492.42/x
  3. Step 3: Cross multiply
    505.38x = 762.74 × 492.42
  4. Step 4: Simplify right side
    505.38x = 375,585.97
  5. Step 5: Solve for x
    x = 375,585.97/505.38
  6. Step 6: Final answer
    x = 743.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.