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Finding the Fourth Proportional to 492.07, 736.07 and 450.62

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Solution

The fourth proportional to 492.07, 736.07 and 450.62 is: 674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.07 : 736.07 = 450.62 : x
  2. Step 2: Convert to fraction form
    492.07/736.07 = 450.62/x
  3. Step 3: Cross multiply
    492.07x = 736.07 × 450.62
  4. Step 4: Simplify right side
    492.07x = 331,687.86
  5. Step 5: Solve for x
    x = 331,687.86/492.07
  6. Step 6: Final answer
    x = 674.07

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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.